MS5220 Management Sciecne Week 2 Assignment
#24
Q1. Firm XYZ processes insurance claims usung both permanent and temporary computer operators.
A permanent operator can process 16 claims per day, whereas a temporary operator can process 12 per day.
On average the company processes at least 450 claims each day. the firm has 40 computers.
A permanent operator generates about 0.5 claims with errors each day, whereas a temporary operator averages about 1.4 defective claims per day.
The firm wants to limit claims with error to 25 per day.
A permanent operator is paid $64 per day, and a temporary operator is paid $42 per day. The firm wants to determine the number of permanent and temporary operators to hire in order to MINIMIZE costs.
a) Formulate a linear programming model for this problem.
b) Solve this model by using grahpical analysis.
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#37
Q2. Company ABC produces two sizes of cans -- regular and large. The cans are produced in 10,000-- can lots ( 商品等的 )一批 .
The cans are processed through a stamping operation and a coating operation.
The company has 30 days available for both stamping and coating. A lot ( 商品等的 ) 一批 of regular-size cans requres 2 days to stamp and 4 days to coat, whereas a lot of large cans requires 4 days to stamp and 2 days to coat.
A lot( 商品等的) 一批 of regular-size cans earns $800 profit, and a lot ( 商品等的)一批 of large-sie cans earns $900 profit.
In order to fulfil its obligations under a shipping contract, the cmpany must produce at least 9 lots(商品等的 )一批. The company wants to determine the number of lots to produce each size can (x1 and x2) in order to MAXIMIZE profit.
a) formulate a linear programming model for this problem.
b) solve this model using graphical analysys.
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