1. Linear programming, absolute values, inequalities
Unit 1 test
Linear programming, absolute values, inequalities

2. Question #1
The straka “Bold and bright” company specializes in bold and bright shirts and ties. They can produce no more than 1000 units of clothing. Complete shirts and complete ties can be made per hour and production may not cost over $8400 per hour. It costs $3 to make a tie and $12 to make a shirt. The profit is $0.85 for a tie and $3 for a shirt. ***Identify the constraints into a system of inequalities.

3. Question #2 **Find the vertices of the feasible set.
The straka “Bold and bright” company specializes in bold and bright shirts and ties. They can produce no more than 1000 units of clothing. Complete shirts and complete ties can be made per hour and production may not cost over $8400 per hour. It costs $3 to make a tie and $12 to make a shirt. The profit is $0.85 for a tie and $3 for a shirt.
**Find the vertices of the feasible set.

4. Question #3 *** write an expression to be maximized.
The straka “Bold and bright” company specializes in bold and bright shirts and ties. They can produce no more than 1000 units of clothing. Complete shirts and complete ties can be made per hour and production may not cost over $8400 per hour. It costs $3 to make a tie and $12 to make a shirt. The profit is $0.85 for a tie and $3 for a shirt.
*** write an expression to be maximized.

5. Question #4 ** Determine the vertex that maximizes the profit.
The straka “Bold and bright” company specializes in bold and bright shirts and ties. They can produce no more than 1000 units of clothing. Complete shirts and complete ties can be made per hour and production may not cost over $8400 per hour. It costs $3 to make a tie and $12 to make a shirt. The profit is $0.85 for a tie and $3 for a shirt.
** Determine the vertex that maximizes the profit.

6. Question #5
Solve.

7. Question #6
Solve.

8. SOLVE.
Question #7

9. Solve.
Question #8

10. Question #9
How much candy worth $1.20 per pound must be mixed with candy worth $1.80 per pound to obtain 50 pounds of candy worth $1.35 per pound?

11. Mr. Duffy determines that the profit for his company is determined by
P= 180x + 275y. Find the maximum profit under the following constraints.
Question #10