Please do not give solution in image formate thanku. 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 $2200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3800. 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 Using the decision variables x4 and s4, write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 7800 units. x4 ≤ s4 Using the decision variables x6 and s6, write a constraint that limits next week's production of the 6-cylinder connecting rods to either 0 or 6300 units. x6 ≤ s6 Write three constraints that, taken together, limit the production of connecting rods for next week. x4 ≤ s4 x6 ≤ s6 s4 + s6 = Write an objective function for minimizing the cost of production for next week. Min x4 + x6 + s4 + s6
Please do not give solution in image formate thanku.
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 $2200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3800.
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
Using the decision variables x4 and s4, write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 7800 units.
x4 ≤ s4
Using the decision variables x6 and s6, write a constraint that limits next week's production of the 6-cylinder connecting rods to either 0 or 6300 units.
x6 ≤ s6
Write three constraints that, taken together, limit the production of connecting rods for next week.
x4 ≤ s4
x6 ≤ s6
s4 + s6 =
Write an objective function for minimizing the cost of production for next week.
Min x4 + x6 + s4 + s6
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