A chemical manufacturer produces two products, chemical X and chemical Y. Each product is manufactured...
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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 $60/unit contribution to profit, while Chemical y provides a $55 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 2 Chemical y 5 3 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 algebraic expression for the constraint on machine A (when exhausting all available machine hours) is X+ y=
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