The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K) and Queen Beds (Q). Each King Bed costs $500 and requires 100 cubic feet of storage space, and each Queen Bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each King Bed is $300, and for each Queen Bed is $150. Which of the following is not a feasible purchase combination?Multiple Choice0 King Beds and 0 Queen Beds150 King Beds and 0 Queen Beds0 King Beds and 250 Queen Beds90 King Beds and 100 Queen Beds0 King Beds and 200 Queen Beds
Question
The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K) and Queen Beds (Q). Each King Bed costs 300 and requires 90 cubic feet of storage space. The manager has 300, and for each Queen Bed is $150. Which of the following is not a feasible purchase combination?Multiple Choice0 King Beds and 0 Queen Beds150 King Beds and 0 Queen Beds0 King Beds and 250 Queen Beds90 King Beds and 100 Queen Beds0 King Beds and 200 Queen Beds
Solution
To determine which purchase combination is not feasible, we need to check each option against the constraints of budget and storage space. Let's analyze each option step by step.
-
0 King Beds and 0 Queen Beds:
- Cost:
- Storage:
- Both cost and storage are within limits.
-
150 King Beds and 0 Queen Beds:
- Cost:
- Storage:
- Both cost and storage are within limits.
-
0 King Beds and 250 Queen Beds:
- Cost:
- Storage:
- Storage exceeds the limit of 18,000 cubic feet.
-
90 King Beds and 100 Queen Beds:
- Cost:
- Storage:
- Both cost and storage are within limits.
-
0 King Beds and 200 Queen Beds:
- Cost:
- Storage:
- Both cost and storage are within limits.
The combination that is not feasible is:
- 0 King Beds and 250 Queen Beds
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