Question

1)A small plant makes two types of automobile parts Part A and Part B. Itbuys castings that are machined, bored and polished. You are given thefollowing data:CapacityPart APart BMachine Capacity25/ hr40/ hrBoring Capacity28 / hr35/hrPolishing Capacity35/ hr25/hrCastings for Part A cost Rs. 20/- each and for Part B they cost Rs. 30/-each. They sell Rs. 50/- and Rs. 60/- respectively. The three machines haverunning costs of Rs. 200/-, Rs. 140/- and Rs. 175/- per hour. Assuming that anycombination of Part A and B can be sold formulate a linear programming model.​

Answer 1

1)A small plant makes two types of automobile parts Part A and Part B. Itbuys castings that are machined, bored and polished. You are given thefollowing data:CapacityPart APart BMachine Capacity25/ hr40/ hrBoring Capacity28 / hr35/hrPolishing Capacity35/ hr25/hrCastings for Part A cost Rs. 20/- each and for Part B they cost Rs. 30/-each. They sell Rs. 50/- and Rs. 60/- respectively. The three machines haverunning costs of Rs. 200/-, Rs. 140/- and Rs. 175/- per hour. Assuming that anycombination of Part A and B can be sold formulate a linear programming model.

Answer 2

Step-by-step explanation:

A small plant makes two types of automobile parts. It buys castings that are machined, bored, and polished. The data shown in Table 1 are given.

Part A Part B

Machine Capacity 25 per hour 40 per hour

Boring Capacity 28 per hour 35 per hour

Polishing Capacity 35 per hour 25 per hour

Castings for part A cost $2 each; for part B it cost $3 each. Parts are selling for $5 and $6, respectively. The three machines have running costs of #20, $14, and $17.50 per hour. Assuming that any combination of Parts A and B can be sold, what product mix maximizes profit?