The Awesome Skis Company has manufacturing plants in Portland, Oregon and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Superslide, to outlets in Lake Tahoe and Whistler. The Portland plant, when operating at full capacity, can manufacture 620 pairs Superslide skis per week, while the Toronto plant, beset by labor disputes, can produce only 410 pair of skis per week. The outlet in Lake Tahoe orders at least 500 pairs Superslide skis per week, while Whistler orders at least 530 pairs of skis per week.   Transportation costs are as follows: Portland to Lake Tahoe: $10 per pair of skis;           Portland to Whistler: $5 per pair of skis. Toronto to Lake Tahoe: $20per pair of skis;             Toronto to Whistler: $10 per pair of skis.     (a) You want to ship as many skis as you can filling all the orders and yet, you want to minimize your costs. If so, how many skis should be shipped from each manufacturing plant to each distribution outlet? Set up variables and a system of equations and solve. Paste the output of the Excel template below.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
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  1. The Awesome Skis Company has manufacturing plants in Portland, Oregon and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Superslide, to outlets in Lake Tahoe and Whistler. The Portland plant, when operating at full capacity, can manufacture 620 pairs Superslide skis per week, while the Toronto plant, beset by labor disputes, can produce only 410 pair of skis per week. The outlet in Lake Tahoe orders at least 500 pairs Superslide skis per week, while Whistler orders at least 530 pairs of skis per week.

 

Transportation costs are as follows:

Portland to Lake Tahoe: $10 per pair of skis;           Portland to Whistler: $5 per pair of skis.

Toronto to Lake Tahoe: $20per pair of skis;             Toronto to Whistler: $10 per pair of skis.

 

 

(a) You want to ship as many skis as you can filling all the orders and yet, you want to minimize your costs. If so, how many skis should be shipped from each manufacturing plant to each distribution outlet? Set up variables and a system of equations and solve. Paste the output of the Excel template below.

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