A system has two processes and three identical resources. Each process needs a maximum of two resources. Is deadlock possible? Explain your answer
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22. A system has two processes and three identical resources. Each process needs a maximum of two resources. Is deadlock possible? Explain your answer
23. Consider the previous problem again, but now with p processes each needing a maximum of m resources and a total of r resources available. What condition must hold to make the system deadlock free?
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- A company wants to store the following seven SKUs so there is 100% accessibility.Items are stored on pallets that are stored four high.a. How many pallet positions are needed?b. What is the cube utilization? c. If the company bought racking for storing the pallets, how many pallet positionsare needed to give 100% accessibility?An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same) circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours) each, and the B-200 requires 30 minutes (.5 hours) each to produce. The firm forecasts that it could sell a maximum of 4,000 A- 100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What is the objective function? What is the assembly time constraint (in hours)? Which of the following is not a feasible production/sales combination? What are optimal weekly profits?Hilliard Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours. Hilliard’s monthly production capacity is 1,200 hours. Mr. Blank, the firm’s sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively. The company has the following goals (ranked in order from most important to least important): 1. Fill an order from the best customer for thirty 64MB chips and thirty-five 256MB chips. 2. Provide sufficient chips to at least equal the sales estimates set by Mr. Blank. 3. Avoid underutilization of the production capacity. Formulate this problem using goal programming
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- TRUE OR FALSE The simplex method is a linear programming procedure designed to handle only three variablesA hotel has 200 rooms and 2 fares: low fare, which is $250 per night’s stay, and high fare, which is $350 per night’s stay. The low fare is for leisure travelers who will book first, and the high fare is for business travelers who will book after all leisure travelers have made their booking. Suppose that there are a sufficiently large number of leisure travelers, which means that every room except rooms kept for business travelers will be booked by leisure travelers. If a low-fare room is booked, the hotel will spend $14 in hiring a part-time employee to clean the room ($14/room); if a high-fare room is booked, the hotel will spend $25 in hiring a part-time employee to clean the room thoroughly ($25/room). For both types of rooms, if they are booked, the hotel has to pay $10/room for the consumption of electricity and water. The number of business travelers who want to book a room is discrete uniformly distributed over 41, 42, …, 50. Please find out the optimal protection level for…1. A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. According to above information, what should be the company’s optimal product mix to maximize its profit? Construct the problem as a LP model. 2. Solve the above problem by using Simplex Method. 3. Min Z = 0.4 x1 + 0.5 x2 Subject to 0.3 x1 +0.1 x2 ≤ 2.7 0.5x1 +0.5x2 = 6 0.6 x1 + 0.4x2 ≥ 6 x1 - 2x2 ≥ 0 x1, x2 ≥ 0 Create a problem and define the decision…
- A company wishes to store the following SKUs so there is 100% accessibility. Theitems are stored on pallets that can be stacked three high.a. How many pallet positions are needed?b. What is the cube utilization?c. If the company bought racking for storing the pallets, how many pallet positionsare needed to give 100% accessibility?A small shoe manufacturer makes two styles of shoes: oxfords and loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 min per pair on the cutting machine. Oxfords require 10 min of sewing per pair, and loafers require 20 min of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours a day. Set up a system of linear inequalities that describes the number of pairs of each style of shoes that the manufacturer can produce within required working hours.In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. WHICH OF THE FOLLOWING STATEMENTS IS TRUE The required cycle time will also increase proportionally The minimum number of workstations required will come down The idle times at many workstations will increase It will be possible to handle the new requirement by increasing the available time