A chemical manufacturer produces two products, chemical X and chemical Y. Each p
ID: 3365453 • Letter: A
Question
A chemical manufacturer produces two products, chemical X and chemical Y. Each product is manufactured by a two-step process that involves blending and mixing in machine A and packaging on machine B. Chemical X provides a $55/unit contribution to profit, while Chemical Y provides a $60 contribution to profit. The processing times for the two products on the mixing machine (A) and the packaging machine (B) are as follows:
Product
Machine A
Machine B
(hours)
(hours)
Chemical X
3
3
Chemical Y
5
2
For the upcoming two-week period, machine A has available 90 hours and machine B has available 60 hours of processing time. Forecasts of the markets indicate that the manufacturer can expect to sell a maximum of 16 units of chemical X and 18 units of chemical Y.
The objective function of this problem is
maximize 55x +60y
maximize 90x + 60y
maximize 65x +50y
maximize 60x +55y
Product
Machine A
Machine B
(hours)
(hours)
Chemical X
3
3
Chemical Y
5
2
Explanation / Answer
as total profit =55* number of units of X+60*number of units of Y
therefore objective function of this problem is option A: maximize 55x +60y
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