Name: Score: Solve by Linear Programming: Form B For each exercise: It is essential that your graph must explain all the important variables. In other words, the scale of the graph should be selected properly, and all the constraints, the feasible area, all the critical (corner) points should be SOLVED ALGEBRAICALLY and indicated clearly. The line(s) also have to be labeled (colored) clearly. Points will be taken off for sloppiness. USE GRAPH PAPER AND COLORS! Answer the question with a complete sentence explaining the meaning of the solution. LINEAR PROGRAMMING PROBLEM 1 (40 points) COMPLETE THE TABLE BELOW! A manufacturer wants to maximize the profit of two types of boxed chocolates. A box of chocolate covered creams yields $ 60.00 per unit, and box of chocolate covered cherries yields a profit of $80.00 per unit. Market tests and available resources have indicated the following constraints: The combined production level should not exceed 1200 boxes per month. The demand for chocolate covered cherries is no more than half the demand for chocolate covered creams. The production level of chocolate covered creams is less than or equal to 600 units plus three times the production level of chocolate covered cherries. Using the information AND graph provided: (Complete the following table!) (800, 400) 400 a. State the profit equation: 300 b. Compute the possible profits at each critical point. Boxes of chocolate covered cherries C. 200- Find the maximum profit. Identify on the table. (1050, 150) d. Answer the question using a full sentence that explains the solution in context. 100 (0, 0) (600, 0) Profit Eqn: 400 800 1200 Boxes of chocolate covered creams Critical Points Computation Total A.400 800 1200 Boxes of chocolate Computation Total covered creams Critical Points A. B. C. D Solution in Context: LINEAR PROGRAMMING PROBLEM 2 (60 points). SOLVE! There are 150 acres of land available to raise apples and beets. It takes one day to trim an acre of apples and two days to trim an acre of beets, and there are 240 days per year available for trimming. It takes 0.3 day to pick apples and o.1 day to pick beets, and there are 30 days per year available for picking. Find the number of acres of each crop that should be planted to maximize profit, assuming that the profit is $80 per acre for apples and $70 per acre for beets