Question

Consider the version of the product mix problem discussed in class. But the recipe for the all-in-one juice is modified such that one fourth of it is orange juice, another one fourth is grapefruit juice and the remaining half of it is pineapple juice. What is optimal profit value? Note: Every other data in the question stay the same as discussed in class.

Here is the version of the problem discussed in class:

Formulate and then solve a linear programming model of this problem, to determine how many containers of each product to produce tomorrow to maximize profits. The company makes four juice products using orange, grapefruit, and pineapple juice.

Product	Retail Price Per Quart
Orange Juice	$1.00
Grapefruit juice	.90
Pineapple juice	.80
All-in-One	1.10

The All-in-One juice has equal parts of orange, grapefruit, and pineapple juice. Each product is produced in a one-quart size (there are four quarts in a gallon). On hand are 400 gallons of orange juice, 300 gallons of grapefruit juice, and 200 gallons of pineapple juice. The cost per gallon is $2.00 for orange juice, $1.6 for grapefruit juice, and $1.40 for pineapple juice. In addition, the manager wants grapefruit juice containers to be no more than 30 percent of the number of containers produced. She wants the ratio of the number of containers of orange juice to the number of containers of pineapple juice to be at least 7 to 5.

Select one:

a. $2280

b. $2440

c. $2320

d. $2240

e. $2120

Answer 1

Hey, I tried solving this but I don't see the answer up there given in the above options, please check once!