Linear programming - daily production totals of a certain product
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As a supervisor of a production department, you must decide the daily production totals of a certain product that has 2 models, the deluxe and the special.
The profit on the deluxe model is $12 per unit and the profit on the special model is $10 per unit.
Each model goes through two phases in the production process, and there are only 100 man- hours available daily at the construction stage and only 80 man-hours available at the finishing stage.
Each deluxe model requires 20 minutes of construction time and 10 minutes of finishing time.
Each special model requires 15 minutes of construction time and 15 minutes of finishing time.
The company has also decided that the special model must comprise at least 40 percent of the production total.
a. Formulate this as a linear programming problem
b. Find the solution that gives the maximum profit
c. What is that profit?
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Solution Summary
This solution formulates a linear programming problems and finds a solution that gives maximum profit. The answer is attached in a .doc file and the real text portion is in the text box.
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As a supervisor of a production department, you must decide the daily production totals of a certain product that has 2 models, the deluxe and the special.
The profit on the deluxe model is $12 per unit and the profit on the special model is $10 per unit.
Each model goes through two phases in the production process, and there are only 100 man- hours available daily at the construction stage and only 80 man-hours available at the finishing stage.
Each deluxe model ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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