## Related questions with answers

The maximum production of a soft-drink bottling company is 5000 cartons per day. The company produces two kinds of soft drinks, regular and diet. It costs $1.00 to produce each carton of regular and$1.20 to produce each carton of diet. The daily operating budget is $5400. The profit is$0.15 per carton on regular and $0.17 per carton on diet drinks. How much of each type of drink is produced to obtain the maximum profit?

Solution

VerifiedFirstly, we are going to let the $x$ be the number of cartons of regular and the $y$ be the number of cartons of diet soft drinks.

Now, the objective function is based on the fact that the company wants to obtain the maximum profit. So, since the profit on regular drinks is $0.15\$$ per carton and $0.17\$$ per carton on diet drinks:

$z=0.15x+0.17y$

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