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4. A Gift for You makes oral arrangements and fruit baskets. The small business has a maximum of 40 hours per week available in the assembly department and a maximum of 10 hours per week in the packaging department. Each oral arrangement takes 20 minutes to assemble and 6 minutes to package. Each fruit basket takes 15 minutes to assemble and 2 minutes to package. The prot for each oral arrangement is $50 and the prot for each fruit basket is $35. The company wants to maximize their prot. A. Set up the linear programming problem by writing the objective function as well as the system of constraints. B. How many oral arrangements and fruit baskets must be sold to maximize prot? C. What is the maximum prot? Use the following variables to solve problem 4 from the book. Let x = the number of oral arrangements and y = the number of fruit baskets 5. Give the objective function a. MaxP = 502: + 35y b. MaxP = 202: + 631 Math 1313 Homework 4 Section 2.2 c. Min P = 15x + 2y d. MaxP = 35x + 203/ e. Min P = 35x + 20y 6. Give a constraint. 20x + 63! S 40 20x + 15y s 40 6x + 23/ s 10 20x + 153/ 5 2,400 6x + 23/ 2 600 $09.09*. 7. How many of each should they sell to maximize their prot? 84 Floral Arrangements and 48 Fruit Baskets 0 Floral Arrangements and 160 Fruit Baskets 0 Floral Arrangements and 300 Fruit Baskets 100 Floral Arrangements and 0 Fruit Baskets 48 Floral Arrangements and 84 Fruit Baskets 99-975