1. A Scrap metal dealer has received a bulk order from acustomer for a supply of at least 2000 kg of scrap metal. Theconsumer has specified that at least 1000 kgs of the order must behigh quality copper that can be melted easily and can be used toproduce tubes. Further, the customer has specified that the ordershould not contain more than 200 kgs of scrap which are unfit forcommercial purposes. The scrap metal dealer purchases the scrapfrom two different sources in an unlimited quantity with thefollowing percentages (by weight) of high quality of copper andunfit 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 optimumquantities of metal to be purchased from the two sources by themetal scrap dealer so as to minimize the total cost. Formulate anLP model.
2. Company Z manufacture two products, model A and model B. Eachunit of model A requires 2 kg of raw material and 4 labor hours forprocessing, whereas each unit of model B requires 3 kg of rawmaterials and 3 labor hours for the same type. Every week, the firmhas 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 soldgives $35 as profit. Formulate a Linear Programming model todetermine as to how many units of each of the models should beproduced per week so that the firm can earn maximum profit.
LINEAR PROGRAMMING MODEL
WITH SOLN PLS THANK YOU!
