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Example 5 Transportation Chapter 7.2 Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume.

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Presentation on theme: "Example 5 Transportation Chapter 7.2 Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume."— Presentation transcript:

1 example 5 Transportation Chapter 7.2 Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300  2009 PBLPathways

2 Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300

3  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Volume Total Weight Total Value

4  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Volume Total Weight Total Value

5  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Volume Total Weight Total Value

6  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Volume Total Weight Total Value

7  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Volume Total Weight Total Value

8  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Weight Total Value

9  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Weight Total Value

10  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Value

11  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C Total Value

12  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 x: Number of units of product A y: Number of units of product B z: Number of units of product C

13  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300

14  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

15  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

16  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

17  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

18  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

19  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

20  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

21  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

22  2009 PBLPathways -25 R1 + R2  R2 -150 R1 + R3  R3 R1  R1

23  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

24  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

25  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

26  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

27  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

28  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

29  2009 PBLPathways R2 + R1  R1 -48 R2 + R3  R3 R2  R2

30  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300

31  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300

32  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300

33  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 All variables must be nonnegative

34  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 All variables must be nonnegative

35  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 All variables must be nonnegative

36  2009 PBLPathways Ace Trucking Company has an order for three products, A, B, and C, for delivery. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the company can carry 30,000 cubic feet and 62,000 pounds and is insured for $276,000, how many units of each product can be carried? Product AProduct BProduct C Unit Volume (cubic feet) 252230 Weight (pounds)253870 Value (dollars)150180300 Units of Product C carried: Units of Product A carried: Units of Product B carried: and z is an even integer

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