nEED ASWER WITHIN 1 HOURS SO BEFOR 10:30 7 QUESTIONS

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:

Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows:

If the Edwards production plan for the next period includes 1050 units of component 1 and 775 units of component 2, what purchases do you recommend? That is, how many units of each component should be ordered from each supplier?

What is the total purchase cost for the components?

$  fill in the blank 7

What is the total purchase cost for the components?

$  fill in the blank 7

Problem 15-9 (Algorithmic)

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:

1. What is the probability that no units are in the system? If required, round your answer to four decimal places.
   P0 = fill in the blank 1

2. What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places.
   P1 = fill in the blank 2

3. What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places.
   P2 = fill in the blank 3

4. What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places.
   P3 = fill in the blank 4

5. What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.
   P(More than 2 waiting) = fill in the blank 5

6. What is the average time a customer waits for service? If required, round your answer to four decimal places.
   Wq = fill in the blank 6 hours

Problem 15-7 (Algorithmic)

Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 4.5 cars per hour. The service rate is 6 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.

1. What is the average number of cars in the system? If required, round your answer to two decimal places
   L = fill in the blank 1

2. What is the average time that a car waits for the oil and lubrication service to begin? If required, round your answer to two decimal places.
   Wq = fill in the blank 2 hours

3. What is the average time a car spends in the system? If required, round your answer to two decimal places.
   W = fill in the blank 3 hours

4. What is the probability that an arrival has to wait for service? If required, round your answer to two decimal places.
   Pw = fill in the blank 4

Problem 12-27 (Algorithmic)

Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.

Aynor: Cost = 80Q1 + 5Q12 + 106
Spartanburg: Cost = 28Q2 + 3Q22 + 158

Andalus needs to manufacture a total of 30 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? When required, round your answers to the nearest dollar.

The optimal solution is to produce fill in the blank 1 chairs at Aynor for a cost of $  fill in the blank 2 and fill in the blank 3 chairs at Spartanburg for a cost of $  fill in the blank 4. The total cost is $  fill in the blank 5.

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 $2300, and the cost required to set up the production line for the 6-cylinder connecting rods is $3400. Manufacturing costs are $14 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 5600 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

1. 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.
   fill in the blank 1x4   fill in the blank 3s4

2. 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 5600 units.
   fill in the blank 4x6   fill in the blank 6s6

3. Write three constraints that, taken together, limit the production of connecting rods for next week.
   fill in the blank 7x4   fill in the blank 9s4
   fill in the blank 10x6   fill in the blank 12s6
   fill in the blank 13s4 + fill in the blank 14s6   fill in the blank 16

4. Write an objective function for minimizing the cost of production for next week.
   Min fill in the blank 17x4 + fill in the blank 18x6 + fill in the blank 19s4 + fill in the blank 20s6

Problem 9-15

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 upcoming 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.

Develop and solve a linear programming model to maximize contribution to profit.

If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

R1, R2, R3, S1, S2, S3 ≥ 0

What is the optimal contribution to profit?

Maximum Profit = $  fill in the blank 36 by making fill in the blank 37 barrels of Regular and fill in the blank 38 barrels of Super.

Problem 10-09 (Algorithmic)

The Ace Manufacturing Company has orders for three similar products:

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:

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.