3 The Silver Star Bicycle Company will be manufacturing both men's and women's models for its Easy-Pedal nil-speed bicycles during the next two...
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I cant figure out if my objective function is correct and about how to construct the constraints.

My

attempt:

Let Xij be the number of cycles of model i produced in month j. Where i belongs to {men's, women's} and j belongs to {1,2}

Let m denote men's

Let w denote women's

Minimize Z = 120(Xm1 + Xm2 ) + 90(Xw1 + Xw2) + ((Xm1 + 20 - 150)(0.02 * 120)) + ((Xw1 + 30 - 125)(0.02 * 90))lp formulation.png

lp formulation.png

Q. 3 The Silver Star Bicycle Company will be manufacturing both men’s and women’s
models for its Easy-Pedal nil-speed bicycles during the next two months. ManagI-ent wants to develop a production schedule indicating how many bicycles of each
model should be produced in each month- Current demand forecasts call for 150 men’s and 125
women’s models to be shipped during the first month and Edi} men’s and 150 women’s models
to be shipped during the second month. Additional data are shown: labor Requirements [hours]
Model Production Manufacturing Assembly Current Last month the company used a total of 1000 hours of labor. The company’s labor relations
policy will not allow the combined total hours of labor (mam1facturing plus assembly) to
increase or decrease by more than lflfl hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the production cost
based on the inventory levels at the end of the month. The company would like to have at least
25 units of each model in inventory at the end of the two months. Formulate 3 Linear program to develop the optimal production schedule.

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