Scenario 1: The All Season Corporation manufactures two electrical products: air

Question

Scenario 1: The All Season Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 6.15 hours of wiring and 4.75 hours of drilling. Each fan must go through 4.15 hours of wiring and 5.25 hours of drilling. During the next production period, 250 hours of wiring time are available and up to 300 hours of drilling time may be used. Each air conditioner sold yields a profit of $72.70. Each fan assembled may be sold for a $49.50 profit. (5 points each for a total of 10 points)

: Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans and that yields the highest profit. Feel free to use the Excel template provided or the corner point method.

: Round your Solution Values to a whole number and calculate the profit using the rounded solution.

Explanation / Answer

Let x be the number of AC,y be the number of fans

Given 6.15x+4.15y<=250

4.75x+5.25y<=300

also that x,y are integers because one cannot produce 0.5 number of fans or acs

We need to maximize->72.7x+49.5y

Hence Using a solver gives x=6,y=51, Maximum Profit=2960.7

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