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

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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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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