The senior management at Davis Watercraft would like to determine if it is possible to improve firm profitability by changing their existing product mix.​ Currently, the product mix is determined by giving resource priority to the highest contribution margin watercrafts. Davis Watercraft always has a contingent of 10 workers on​ hand; each worker is paid ​$25 per hour. Overhead costs are ​$25,000 per week. The plant operates 18 hours per day and 6 days per week. Labor is considered a fixed expense because workers are paid for their time regardless of their utilization. The production manager has determined that workstation 1 is the bottleneck. Detailed production information is provided below.                                                                                                                             LOADING...   Model   A B C Price ​$420 ​$320 ​$460 Material costs ​$50 ​$30 ​$100 Weekly demand 100 75 40 Processing Time Station 1 60 0 30 Processing Time Station 2 0 0 60 Processing Time Station 3 10 60 0 Processing Time Station 4 20 30 40 a. Using the traditional​ method, which bases decisions solely on a​ product's contribution to profits and​ overhead, what is the product mix that yields the highest total​ profit? ​(Enter your responses rounded to the nearest whole​ number.)     A B C Product mix nothing nothing nothing The total profit under the traditional method is ​$nothing. ​(Enter your response rounded to the nearest whole​ number.) b. Using the​ bottleneck-based method, what is the product mix that yields the highest total​ profit? ​(Round your answers to the nearest whole number and ignore the violations on constraints due to rounding.​)     A B C Product mix nothing nothing nothing The total profit under the new method is ​$nothing. ​(Enter your response rounded to the nearest whole​ number.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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The senior management at Davis Watercraft would like to determine if it is possible to improve firm profitability by changing their existing product mix.​ Currently, the product mix is determined by giving resource priority to the highest contribution margin watercrafts. Davis Watercraft always has a contingent of 10 workers on​ hand; each worker is paid
​$25
per hour. Overhead costs are
​$25,000
per week. The plant operates 18 hours per day and 6 days per week. Labor is considered a fixed expense because workers are paid for their time regardless of their utilization. The production manager has determined that workstation 1 is the bottleneck. Detailed production information is provided below.
                                                                                                                        
  
LOADING...
 
Model
 
A
B
C
Price
​$420
​$320
​$460
Material costs
​$50
​$30
​$100
Weekly demand
100
75
40
Processing Time Station 1
60
0
30
Processing Time Station 2
0
0
60
Processing Time Station 3
10
60
0
Processing Time Station 4
20
30
40
a. Using the traditional​ method, which bases decisions solely on a​ product's contribution to profits and​ overhead, what is the product mix that yields the highest total​ profit? ​(Enter your responses rounded to the nearest whole​ number.)
 
 
A
B
C
Product mix
nothing
nothing
nothing
The total profit under the traditional method is
​$nothing.
​(Enter your response rounded to the nearest whole​ number.)
b. Using the​ bottleneck-based method, what is the product mix that yields the highest total​ profit?
​(Round
your answers to the nearest whole number and ignore the violations on constraints due to
rounding.​)
 
 
A
B
C
Product mix
nothing
nothing
nothing
The total profit under the new method is
​$nothing.
​(Enter your response rounded to the nearest whole​ number.)
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