The Kleenglass Corporation makes a dishwasher that has excellent cleaning power. This dishwasher uses less water than most competitors, and it is extremely quiet. Orders have been received from several retail stores for delivery at the end of each of the next 3 months, as shown below: MONTH NUMBER OF UNITS June 195 July 215 August 205 Due to limited capacity, only 200 of these dish- washers can be made each month on regular time, and the cost is $300 each. However, an extra 15 units per month can be produced if overtime is used, but the cost goes up to $325 each. Also, if there are any dishwashers produced in a month that are not sold in that month, there is a $20 cost to carry this item to the next month. Use linear programming to deter- mine how many units to produce in each month on regular time and on overtime to minimize the total cost while meeting the demand.
The Kleenglass Corporation makes a dishwasher
that has excellent cleaning power. This dishwasher
uses less water than most competitors, and it is
extremely quiet. Orders have been received from
several retail stores for delivery at the end of each of
the next 3 months, as shown below:
MONTH
NUMBER OF
UNITS
June 195
July 215
August 205
Due to limited capacity, only 200 of these dish-
washers can be made each month on regular time,
and the cost is $300 each. However, an extra 15 units
per month can be produced if overtime is used, but
the cost goes up to $325 each. Also, if there are any
dishwashers produced in a month that are not sold
in that month, there is a $20 cost to carry this item
to the next month. Use linear programming to deter-
mine how many units to produce in each month on
regular time and on overtime to minimize the total
cost while meeting the demand.
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