Question 1205785: A factory makes three products called Spring, Autumn, and Winter, from three materials containing Cotton, Wool and Silk. The following table provides details on the sales price, production cost and purchase cost per ton of products and materials respectively.
Sales price
Spring $60
Autumn $55
Winter $60
Production cost
Spring $5
Autumn $3
Winter $5
Purchase price
Cotton $30
Wool $45
Silk $50
The maximal demand (in tons) for each product, the minimum cotton and wool propor- tion in each product is as follows:
Demand
Spring 3300
Autumn 3600
Winter 4000
min Cotton proportion
Spring 55%
Autumn 45%
Winter 30%
min Wool proportion
Spring 30%
Autumn 40%
Winter 50%
a) Formulate an LP model for the factory that maximises the profit, while satisfying the demand and the cotton and wool proportion constraints. There is no penalty for the shortage.
b) Find the optimal profit and optimal values of the decision variables.
Answer by ikleyn(52894)   (Show Source):
You can put this solution on YOUR website! .
The meaning dissolves in long tasks to the state of complete absence.
Nobody and never at this forum will read badly organized/formatted messages
longer than 5 lines of standard text without a special need or a special interest.
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