omework: Module B HW ore: 0 of 1 pt 2 of 11 (0 complete) HW Score: 0%, 0 of stru

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omework: Module B HW ore: 0 of 1 pt 2 of 11 (0 complete) HW Score: 0%, 0 of structor-created question Question Help oug Tuner Food Processors wishes to introduce a new brand of dog biscuits composed of chicken and liver flavored biscuits that meet certain nutritional requirements. The liver flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B; the chicken flavored biscuits contain 1 unit of nutrient A and 4 units of nutrient B. According to federal requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new mix. In addition, the company has decided that there can be no more than 14 liver flavored biscuits in a package. costs 1¢ to make 1 liver flavored biscuit and 2¢ to make 1 chicken flavored. Doug wants to determine the optimal product mix for a package of the biscuits to minimize the firm's cost Develop the L.P. Model for Doug to determine the optimal solution. Variables x number of liver flavored biscuit in a package Y w number of chicken flavored biscuilt in a package Objective Function 15 2023544 20 25 30 35 4045 Subject to | ?140 ?160 (C1) (C2) 1x-1V 2X + 4Y ? ll. : 1.1 | Ja | :/? l ". 1. (L.) ? More

Explanation / Answer

Objective function: Minimize Z.

Min Z (in cents) = 1x+2y

Subject to:

1x+1y>=40 (as atleast 40 units of nutriesnt A is required)

2x+4y>=60 (as atleast 60 units of nutrient B is required)

1x+0y<=14 (as liver biscuits should not be greater than 14)

Solving the above we get:

No. of liver biscuits 14 No. of chicken biscuits 26 Z = 66 Constraints: 40 >= 40 132 >= 60 14 <= 14

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