(Step-by-Step) The LP model and LINDO output represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas


Question: The LP model and LINDO output represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that everyone stocked will be sold. The variables measure the number of women‘s, golf, men’s, and folding umbrellas, respectively. The constraints measure storage space in units, special display racks, demand, and a marketing restriction, respectively.

Use the output to answer the questions.

  1. How many women's, golf, men’s and folding umbrellas should be stocked and what is the total profit?
  2. How much space is left unused?
  3. How many racks are used?
  4. By how much is the marketing restriction exceeded?
  5. If the profit of the golf umbrellas was increased by $1.00, would any golf umbrellas be stocked? Why or why not?
  6. By how much can the profit on women‘s umbrellas increase before the solution would change?
  7. To what value can the profit on golf umbrellas increase before the solution would change?
  8. By how much can the amount of space increase before there is a change in the dual price?
  9. If the profit of the women’s umbrellas was decreased by $0.50, the profit of the golf umbrellas was increased by $0.25, the price of the men’s umbrellas was increased by $0.60, and the price of the folding umbrellas was unchanged, what would the new optimal solution and profit be?
  10. You are offered an advertisement that should increase the demand constraint from 72 to 86 for a total cost of $20. Would you say yes or no?

Price: $2.99
Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document

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