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Jon Hoke owns a bicycle shop. He stocks three types of bicycles: road-racing, cross-country and mountain. A...

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Basic Math

Jon Hoke owns a bicycle shop. He stocks three types of bicycles:road-racing, cross-country

and mountain. A road-racing bike costs $1,200, a cross-countrybike costs $1,700 and a

mountain bike costs $900. He sells road-racing bikes for $1,800,cross-country bikes for $2,100

and mountain bikes for $1,200. He has $12,000 available thismonth to purchase bikes. Each

bike must be assembled: a road-racing bike requires 8 hours toassemble, a cross-country bike

requires 12 hours and a mountain bike requires 16 hours. Heestimates that he and his

employees have 120 hours available to assemble bikes. He hasenough space in his store to

order 20 bikes this month. Based on past sales, John wants tostock at least twice as many

mountain bikes as the other two combined because mountain bikessell better. Formulate

(develop the objective function and constraints) a linearprogramming model for this problem

where the Jon’s objective is to maximize total profits. Generatethe solution using Excel Solver.

Please include Solver explanation. (step by step)

Answer & Explanation Solved by verified expert
4.2 Ratings (534 Votes)
Let XY Z be the quantities of roadracing crosscountry andmountain bikes respectively that John stocksThese are the decision variablesThe total profit of producingselling XY Z be the quantities ofroadracing    See Answer
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