A local store has to display three products: Product X, Product Y, and Product Z. The data of these times are given in the following table. Annual Demand in units Purchase Cost ($) Ordering cost ($) Space Requirement per item in square feet Prod X 900 400 500 18 Prod Y 1200 250 200 14 Prod Z 1500 150 175 10 The annual interest rate used for computing holding costs is 25 percent. What are the optimal quantities that should be purchased of these three products if a. there is only budget constraint of $50,000 b. there is only space constraint of 2,750 square feet C. there are space constraint of 2,750 square feet and budget constraint of $50,000

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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Please use excel to find the solution. More this question is from the concept of Lagrange multiplier from inventory and warehouse, to find the budget and space constraints.

 
A local store has to display three products: Product X, Product Y, and Product Z. The data of these times are given in the
following table.
Annual Demand in units
Purchase Cost ($)
Ordering cost ($)
Space Requirement per item in square feet
Prod X
900
400
500
18
Prod Y
1200
250
200
14
Prod Z
1500
150
175
The annual interest rate used for computing holding costs is 25 percent. What are the optimal quantities that
should be purchased of these three products if
a.
there is only budget constraint of $50,000
b. there is only space constraint of 2,750 square feet
there are space constraint of 2,750 square feet and budget constraint of $50,000
Transcribed Image Text:A local store has to display three products: Product X, Product Y, and Product Z. The data of these times are given in the following table. Annual Demand in units Purchase Cost ($) Ordering cost ($) Space Requirement per item in square feet Prod X 900 400 500 18 Prod Y 1200 250 200 14 Prod Z 1500 150 175 The annual interest rate used for computing holding costs is 25 percent. What are the optimal quantities that should be purchased of these three products if a. there is only budget constraint of $50,000 b. there is only space constraint of 2,750 square feet there are space constraint of 2,750 square feet and budget constraint of $50,000
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