Question

A company produces two types of nutritional supplements; Energize and Excel. Energize contains 48 mg of vitamin A, 71 mg of vitamin C and 17 mg of an herbal supplement. Excel contains 41 mg of vitamin A, 85 mg of vitamin C and 13 mg of the herbal supplement. An athlete is told that he needs at least 596 mg of vitamin A, 1282 mg of vitamin C and 395 mg of the herbal supplement for optimal athletic performance. The athlete wants to take the supplements, but at the lowest possible cost. Energize pills cost 40 cents each, while Excel pills cost 150 cents each. Let r the number of Energize pills to take, and let y- the number of Excel pills to take. Which of the following is the objective function for this situation?

a) Minimize C-150x+40y
b) Minimize C- 12820x+3950y
c) Manimize C-40x+150y
d) Maximize C-40x+150y
e) Maximize C-150x+40y
f) None of the above.

Answer 1

The right answer is c) Minimize C=40x+150y

Explanation:

The objective function only considers, in this case, the cost that wants to be minimized.

The cost is the sum of the cost of the two pills, equal to their price times the quantity needed.

The price of the Energize pills (x) is 40 cents and the price of the Excel pills (y) is 150 cents.

The cost will be then:

`C=40*x+150*y`

The right answer is c) Minimize C=40x+150y