Problem 11-9 (Algorithmic)
Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines
using the same production
... [Show More] line. The cost required to set up the production line to produce the 4-
cylinder connecting rods is $2100, and the cost required to set up the production line for the 6-cylinder
connecting rods is $3000. Manufacturing costs are $15 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 6500 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
a. 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.
Problem 9-11 (Algorithmic)
Edwards Manufacturing Company purchases two component parts from three different suppliers. The
suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component price data (in price per unit) are as
follows:
Problem 15-7 (Algorithmic)
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Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide
an arrival rate of 2 cars per hour. The service rate is 3 cars per hour. Assume that arrivals follow a
Poisson probability distribution and that service times follow an exponential probability distribution.
The Ace Manufacturing Company has orders for three similar products:
Product Order (Units)
A 1900
B 550
C 1300
Three machines are available for the manufacturing operations. All three machines can produce all the
products at the same production rate. However, due to varying defect percentages of each product on
each machine, the unit costs of the products vary depending on the machine used. Machine capacities
for the next week and the unit costs are as follows:
Machine Capacity
(Units)
1 1400
2 1500
3 1100
Product
Machine A B C
1 $1.00 $1.20 $0.80
2 $1.30 $1.40 $1.40
3 $1.00 $1.00 $1.50
Use the transportation model to develop the minimum cost production schedule for the products and
machines. Show the linear programming formulation. If required, round your answers to one decimal
place.
The linear programming formulation and optimal solution are shown. [Show Less]