1. A Scrap metal dealer has received a bulk order from a customer for a supply...

1. A Scrap metal dealer has received a bulk order from a customer for a supply of at least 2000 kg of scrap metal. The consumer has specified that at least 1000 kgs of the order must be high quality copper that can be melted easily and can be used to produce tubes. Further, the customer has specified that the order should not contain more than 200 kgs of scrap which are unfit for commercial purposes. The scrap metal dealer purchases the scrap from two different sources in an unlimited quantity with the following percentages (by weight) of high quality of copper and unfit scrap

	Source A	Source B
Copper	40%	75%
Unfit Scrap	7.5%	10%

The cost of metal purchased from source A and source B are $12.50 and $14.50 per kg respectively. Determine the optimum quantities of metal to be purchased from the two sources by the metal scrap dealer so as to minimize the total cost. Formulate an LP model.

2. Company Z manufacture two products, model A and model B. Each unit of model A requires 2 kg of raw material and 4 labor hours for processing, whereas each unit of model B requires 3 kg of raw materials and 3 labor hours for the same type. Every week, the firm has an availability of 60 kg of raw material and 96 labor hours. One unit of model A sold yields $40 and one unit of model B sold gives $35 as profit. Formulate a Linear Programming model to determine as to how many units of each of the models should be produced per week so that the firm can earn maximum profit.

LINEAR PROGRAMMING MODEL

WITH SOLN PLS THANK YOU!

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Colby Messinger answered 2 years ago

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1. A Scrap metal dealer has received a bulk order from a customer for a supply...

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