Question

A confectioner manufactures two types of biscuits: normal and no-calorie type. The normal type is
sold at a profit of Rs. 4 per box, whereas the no-calorie type brings in a profit of Rs. 5 per box. The
biscuits are processed in three main operations: blending, cooking and packaging. The average time
taken (in minutes) for each box, for each of the processing operations, is tabulated below.

Answer 1

Answer:

A confectioner manufactures two types of biscuits: normal type and no-calorie type. The

nornal type is sold at a profit of Rs. 4 per box, whereas the no-calorie type brings

profit of Rs. 5 per box. The biscuits are processed in three main operations: blending,

cooking and packaging. The average time taken (in minutes) for each box, for each of the

processing operations, is tabulated below:

Cooking

Packaging

Type

Normal

Blending

1 min

5 min

3 min

No-calorie

2 min

4 min

1 min

The blending equipment is available for a maximum of 12 machine hours, the cooking

facilities for almost 30 hours and the packaging equipment for not more than 15 hours.

Formulate it as an LP model and solve it graphically to determine how many boxes of

each type the confectioner should manufacture in order to maximize his profit.

Step-by-step explanation:

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