company produces two products on two machines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, a unit requires 1 hour on machine 1 and 2 hours on machine 2. The revenues per unit of products 1 and 2 are $2 and $3, respectively. The total daily processing time available for machine 1 and 2 are 4 and 5 hours respectively. Letting and represent the daily number of units of products 1 and 2 respectively, (i)Construct the LP model to maximize profit. Obtain the optimum solution
A company produces two products on two machines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, a unit requires 1 hour on machine 1 and 2 hours on machine 2. The revenues per unit of products 1 and 2 are $2 and $3, respectively. The total daily processing time available for machine 1 and 2 are 4 and 5 hours respectively. Letting and represent
the daily number of units of products 1 and 2 respectively,
(i)Construct the LP model to maximize profit.
- Obtain the optimum solution graphically by determining the number of units of each product to be produced in order to maximize
the profit and at what value.
- If management decides to increase the daily capacity of machine 1 from 4 hours to 5 hours, locate the new optimum point.
Compute and comment on the dual price and the feasibility range for machine 1.
- If management decides to increase the daily capacity of machine 2 from 5 hours to 6 hours, locate the new optimum point. Compute and comment on the dual price and the feasibility range for
machine 2.
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