VanWerkens motor cycle company makes two motor cycles. The model "E" has a new engine and a low profile. Model "L" is larger, it uses an older engine and is specifically designed to appeal to women. VanWerkens produces the engines for both models at its facilities in Texas. Each model "E" engine requires 5 hours of manufacturing time and each model "L" engine requires 3 hours of manufacturing time. The manufacturing plant has 1600 hours of engine manufacturing time available for the next production period. The motor cycle frame supplier can provide at most, 150 "E" frames and the model "L" supplier can a maximum of 280 model "L" frames for the next production period. Final assembly and testing requires 2 hours of each model "E" and 2.5 hours of each model "L". A maximum of 1000 hours of assembly and testing time are available for the next production period. The companys accounting department projects a profit contribution of $2400 for each model "E" produced and $2100 for each model "L" produced.

Rubric

points possible

points earned

objective function

10

constraints

50

A) Develop a complete linear programming formulation for this problem

solution

40

B) Using the "solver" tool in Excel, find the optimal amount of each motor cycle to produce,

total

100

0

in order to maximize profits. Be sure to indicate the number of each motor cycle to produce and the total profits that are expected.

Do NOT round off final values of motorcycles to be produced. Do NOT use the 'integer' constraint function in solver.

Show all of your work below this line -------------------------------------------------------------------------------------------------------------------------------------------------------------------------

If you use "Solver", please be sure to paste a screen shot of the 'solver' dialog box below, along with your other work.

NOTE: Please round off the final values for the optimal solution and value of the objective function to 2 decimal points, e.g. 198.54