CarSeats.com makes two different types of seat covers for the Ford F-150 pickup truck; a "Leatherette" model that sells for $89, and a "Worktough" model that sells for $79. Each model is processed on three different production lines. The assembly line requires 45 minutes for the Leatherette model and 40 minutes for the WorkTough model. The finishing line requires 25 minutes for the Leatherette model and 20 minutes for the Worktough model. The packing line needs 10 minutes for each seat cover produced, regardless of model. CarSeats.com has a maximum of 160, 120 and 50 hours of time available in the assembly, finishing and packaging lines, respectively. Further, CarSeats.com management insists on producing at least 100 WorkTough seat covers. Given these constraints, how much can CarSeats.com expect to generate in sales?

Problem A Solve the following linear program: With Excel

Max 5A + 2B

s.t. 1A + 2B >= 4

4A + 3B <= 24

A >= 2 A - 2B <= 0

A, B >=0

Problem D Consider the following three constraints:

c1: 5A + 3B >= 15

c2: 2A + 4B <= 12

c3: 2A <= 5

Assuming that the company is interested in maximizing the total profit contribution, answer the following:

a. What is the linear programming model for this problem?

b.Find the optimal solution using the graphical solution procedure.

How many gloves of each model should CarSeats.com manufacture?

c. What is the total profit contribution CarSeats.com near with the given production quantities

d.How many hours of production time will be scheduled in each department?

e. What is the slack time in each department?