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 $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. For every Queen Size Mattress purchased, they need to purchase at least twice as many King Size Mattresses. Profit for each King Bed is $300, and for each Queen Bed is $150.

18) What is the objective function?
A. Z = $150K + $300Q
B. Z = $500K + $300Q
C. Z = $300K + $150Q
D. Z = $300K + $500Q
E. Z = $100K + $90Q
19) What is the storage space constraint?
A. 200K + 100Q ? 18,000
B. 200K + 90Q ? 18,000
C. 300K + 90Q ? 18,000
D. 500K + 100Q ? 18,000
E. 100K + 90Q ? 18,000
20) Which of the following is not a feasible purchase combination?
A. 0 King Beds and 0 Queen Beds
B. 0 King Beds and 250 Queen Beds
C. 150 King Beds and 0 Queen Beds
D. 90 King Beds and 100 Queen Beds
E. 0 King Beds and 200 Queen Beds
21) For the purchase combination 0 King Beds and 200 Queen Beds, which resource is "slack" (not fully used)?
A. investment money (only)
B. storage space (only)
C. both investment money and storage space
D. neither investment money nor storage space
E. cannot be determined exactly

Answer 1

The objective function in this scenario is to maximize profit. The storage space constraint ensures the total storage space required does not exceed the available. A feasible purchase combination is one that satisfies the constraints and is within the available budget.

Step-by-step explanation:

The objective function in this scenario represents the goal of maximizing profit. The objective function is given by:

Z = $300K + $150Q

This equation represents the total profit earned by selling King Beds (K) and Queen Beds (Q), with $300 representing the profit earned from each King Bed and $150 representing the profit earned from each Queen Bed.

The storage space constraint in this scenario represents the limitation on the available storage space. The storage space constraint equation is given by:

200K + 90Q ≤ 18,000

This equation ensures that the total storage space required by the purchased beds does not exceed the available 18,000 cubic feet.

A feasible purchase combination is one that satisfies the constraints and is within the available budget. The not feasible purchase combination is:

150 King Beds and 0 Queen Beds

This combination violates the constraint that for every Queen Size Mattress purchased, at least twice as many King Size Mattresses need to be purchased.

For the purchase combination of 0 King Beds and 200 Queen Beds, the resource that is 'slack' or not fully used is the investment money (only).

Answer 2

yes yup yup yes but it was okay iritiri