ASSIGNED PROBLEM 2: Mrs. Bear has a home business in which she makes and sells stuffed animals from her home. She primarily makes two products - dolphins and manatees. Each dolphin requires 2 square feet of material, 4 ounces of stuffing and 3 hours of labor, while each manatee requires 4 feet of material, 8 ounces of stuffing and 1 hour of labor. Mrs. Bear purchases 80 feet of material and 120 ounces of stuffing each week and allots 60 hours for her business. If she earns a profit of $5 for each dolphin and $7 for each manatee, how many of each should she make in order to maximize her profit and what is that profit? Set up the linear programming problem and answer the following:

2a) How many dolphins should be produced?

2b) How many manatees should be produced?

2c) How much profit will be earned optimally (in dollars)?

2d) What is the value of an additional hour of labor to the total profit?

2e) How much would the profit increase with an additional ounce of stuffing?

2f) How much of the 80 feet of material are actually used in the optimal solution?

2g) What is the lowest profit for dolphins that would have the same solution?

2h) What is the highest profit for manatees that would have the same solution?