Question 4 MGM12026 Production and Operations Management semester il 2024 A company operates a manufacturing plant that produces two products, A and B. The plant has the following capacity data: . . Design Capacity: 15,000 machine hours per month Effective Capacity: 12,000 machine hours per month Actual Output (Utilized Capacity): 10,000 machine hours per month Additionally, the plant produces Product A and Product B, with the following production data: Product Demand (Units) Processing Time Contribution Margin ($ (hours per unit) per unit) A 3,000 2.5 40 B 4,000 1.5 30 a. Calculate the plant's i. Capacity Utilization [3 marks] ii. Effective Capacity Utilization [3 marks] iii. Efficiency. Interpret the results. [3 marks] b. Compute the total machine hours required to meet full demand for both products. [5 marks] c. Determine whether the plant has sufficient capacity to meet full demand. If not, calculate the shortfall in machine hours. [3 marks] d. Using the contribution margin per unit of capacity, determine the optimal production plan under constrained capacity. [8 marks] [TOTAL 25 MARKS]

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Question 4
MGM12026 Production and Operations Management semester il 2024
A company operates a manufacturing plant that produces two products, A and B. The plant has the
following capacity data:
.
.
Design Capacity: 15,000 machine hours per month
Effective Capacity: 12,000 machine hours per month
Actual Output (Utilized Capacity): 10,000 machine hours per month
Additionally, the plant produces Product A and Product B, with the following production data:
Product Demand (Units)
Processing Time Contribution Margin ($
(hours per unit)
per unit)
A
3,000
2.5
40
B
4,000
1.5
30
a. Calculate the plant's
i. Capacity Utilization
[3 marks] ii. Effective Capacity Utilization
[3 marks] iii.
Efficiency. Interpret the results. [3 marks] b. Compute the total machine hours required to
meet full demand for both products. [5 marks]
c. Determine whether the plant has sufficient capacity to meet full demand. If not, calculate the
shortfall in machine hours.
[3 marks]
d. Using the contribution margin per unit of capacity, determine the optimal production plan under
constrained capacity.
[8 marks]
[TOTAL 25 MARKS]
Transcribed Image Text:Question 4 MGM12026 Production and Operations Management semester il 2024 A company operates a manufacturing plant that produces two products, A and B. The plant has the following capacity data: . . Design Capacity: 15,000 machine hours per month Effective Capacity: 12,000 machine hours per month Actual Output (Utilized Capacity): 10,000 machine hours per month Additionally, the plant produces Product A and Product B, with the following production data: Product Demand (Units) Processing Time Contribution Margin ($ (hours per unit) per unit) A 3,000 2.5 40 B 4,000 1.5 30 a. Calculate the plant's i. Capacity Utilization [3 marks] ii. Effective Capacity Utilization [3 marks] iii. Efficiency. Interpret the results. [3 marks] b. Compute the total machine hours required to meet full demand for both products. [5 marks] c. Determine whether the plant has sufficient capacity to meet full demand. If not, calculate the shortfall in machine hours. [3 marks] d. Using the contribution margin per unit of capacity, determine the optimal production plan under constrained capacity. [8 marks] [TOTAL 25 MARKS]
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