BUS 660 FINAL EXAM BUS 660 FINAL EXAM completed with 100% answers

BUS 660 FINAL EXAM BUS 660 FINAL EXAM completed with 100% answers 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 $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) 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 linea r programming formulation and optimal solution are shown. Let x1A = = Units of product A on machine 1 x1B Units of product B on machine 1 • • • x3C Units of product C on machine 3 Problem 15 -9 (Algorithmic) Marty' s Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: a. What is th e probability that no units are in the system? If required, round your answer to four decimal places. Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90 while super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcom ing two-week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown.