Question

1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost

Answer 1

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

$C= 0.12x+0.08y$

Constraints : $x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$

Domain : $3 \leq x\leq 7$

Range : $0\leq y\leq4$