Problem 11-9 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engin
Posted: Mon Jun 06, 2022 7:13 am
Problem 11-9 (Algorithmic)
Hawkins Manufacturing Company produces connecting rods for 4-
and 6-cylinder automobile engines using the same production line.
The cost required to set up the production line to produce the
4-cylinder connecting rods is $2000, and the cost required to set
up the production line for the 6-cylinder connecting rods is $3400.
Manufacturing costs are $13 for each 4-cylinder connecting rod and
$18 for each 6-cylinder connecting rod. Hawkins makes a decision at
the end of each week as to which product will be manufactured the
following week. If there is a production changeover from one week
to the next, the weekend is used to reconfigure the production
line. Once the line has been set up, the weekly production
capacities are 6300 6-cylinder connecting rods and 7800 4-cylinder
connecting rods.
Let
x4 = the number of 4-cylinder connecting
rods produced next week
x6 = the number of 6-cylinder connecting
rods produced next week
s4= 1 if the production line is set up to
produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to
produce the 6-cylinder connecting rods; 0 if otherwise
=≥≤<>
=≥≤<>
=≥≤<>
=≥≤<>
=≥≤<>
Hawkins Manufacturing Company produces connecting rods for 4-
and 6-cylinder automobile engines using the same production line.
The cost required to set up the production line to produce the
4-cylinder connecting rods is $2000, and the cost required to set
up the production line for the 6-cylinder connecting rods is $3400.
Manufacturing costs are $13 for each 4-cylinder connecting rod and
$18 for each 6-cylinder connecting rod. Hawkins makes a decision at
the end of each week as to which product will be manufactured the
following week. If there is a production changeover from one week
to the next, the weekend is used to reconfigure the production
line. Once the line has been set up, the weekly production
capacities are 6300 6-cylinder connecting rods and 7800 4-cylinder
connecting rods.
Let
x4 = the number of 4-cylinder connecting
rods produced next week
x6 = the number of 6-cylinder connecting
rods produced next week
s4= 1 if the production line is set up to
produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to
produce the 6-cylinder connecting rods; 0 if otherwise
=≥≤<>
=≥≤<>
=≥≤<>
=≥≤<>
=≥≤<>