A chemical manufacturer produces two products, chemical X and chemical Y. Each p

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.

How many constraints does this problem have (not counting the non-negativity constraints)?

6

4

2

8

Product

Machine A

Machine B

(hours)

(hours)

Chemical X

3

3

Chemical Y

5

2

Explanation / Answer

given

Machina A nad Machine B

and two chemicals X and Y

Hence there are two constraints (X and Y)

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