Question 1 A A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutes for cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits. a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution b. Graph the feasible region c. Determine the coordinates of each extreme point. d. What is the optimal solution.
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- Q5) Metters Cabinets, Inc., needs to choose a production method for its new office shelf, the Maxistand. To help accomplish this, the firm has gathered the following production cost data. Metters Cabinets projects an annual demand of 24,000 units for the Maxistand. The Maxistand will sell for $120 per unit. Which process type will maximize the annual profit from producing the Maxistand? What is the value of this annual profit? Annualized fixed Variable costs (per unit) ($) cost of plant & Process type equip. LABOR MATERIAL ENERGY Mass Customization $1,260,000 30 18 12 Intermittent $1,000,000 24 26 20 Repetitive $1,625,000 28 15 12 Continuous $1,960,000 25 15 10QUESTION 3Space and equipment are major components of cost in warehouse management. Cube utilization refers to the efficient use of space in the warehouse both on the floor and in height. You are reviewing the efficiency in relation to space utilization in the warehouse.(a) The following information is identified for some of the stock items in the warehouse. Stock keeping unit(SKU) | Number of PalletsSKU 010 2 SKU 020 5 SKU 030 13 SKU 040 7 SKU 050 4 a) The pallets are being stored 3 high. Calculate the percentage utilisation in the warehouse? (b) It is found that the low rate of space utilisation is because the warehouse is using a fixed location method of storage. Recommend two other methods of stock location the organisation can use giving reasons why?Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2
- *5. BagBoy makes a popular model pull cart for golfers. The company wants to determine the upcoming 6-month production schedule for this product. Past records indicate that up to 2400 pull carts can be produced in regular time each month; and up to 200 additional carts may be produced in any month during overtime. Because of the difference in labor cost pull carts of this model that are produced in regular time cost Bagboy $30 to make, while those produced in overtime cost the company $46. Forecasted demands for the next six months are shown in the table below. Month 1 Forecast Demand 1500 2 1800 Month Forecast Demand 3 2000 4 2500 5 3000 6 2800 Holding a pull cart in inventory costs $3 per cart per month and there are no pull carts in inventory at the start of the period. The storage capacity of the company's warehouse limits them to holding at most 400 pull carts in inventory at the end of any given month, and the manager wishes to have no inventory carried over at the end of the six…T19-4 (similar to) Question Help Ready can produce 1,100 pairs of sneakers per hour at maximum efficiency. There are three 8-hour shifts each day. Due to unavoidable operating interruptions, production averages 400 units per hour. The plant actually operates only 24 days per month. Based on the current month's budget, Ready estimates that it will be able to sell only 221,000 units due to the entry of a competitor with high personalization capabilities. But demand is unlikely to be affected in future and will average around 226,000 units each month. Assuming 30 days per month, calculate Ready's monthly (1) theoretical capacity, (2) practical capacty, (3) normal capacity utilization, and (4) master-budget capacity utilization. or (1) Ready's monthly theoretical capacity in units is (1 1)Q-2) A company makes two kinds of door Knobs, standard and deluxe ,the making process cost the company 15$ for the standard and 20$ for the deluxe by making on a grinder and a smoother machines, which they can be run for at most 80 hours a week, each standard one needs 2 hours on the grinder, and 4 hours on the smoother, and each deluxe one needs 4 hours on the grinder and 3 hours on the smoother ,the company sales at 25$,35$ for the standard and the deluxe respectively. To have the profit it wants the company decide to make at least 15 knobs from them at a week, formulate the linear programming model?
- Real Compute (Q1-Q5) Real Compute offers real-time computing services. The company owns 5 supercomputers that can be accessed through the internet. Their customers send jobs that arrive on average every 4 minutes and the standard deviation of inter-arrival times is 4 minutes. Each job takes on average 10 minutes of one of the supercomputers. Given the time-sensitive nature of the calculations, if no supercomputer is available, the job is redirected to a supercomputer of a partner company called OnComp, which charges $500 per job to Real Compute (OnComp always has supercomputer capacity available).l AT&T ? C 2:01 PM ... mple Practice Math Flov Sample 1 You have an upstream Picking department that feeds two downstream packing departments: A and B. 75% of your Pick volume goes to department A, which has a packing rate of 150 units per labor hour (uph). 25% of the Pick volume goes to department B, which is for large items, and has a pack rate of 25 units per labor hour. Your pickers pick both large and small items throughout the day at an overall average rate of 100 units per labor hour. You have 25 people today for all 3 departments, and you absolutely must pack 7,500 units in department A to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer Department % of Rate Реople Daily volume| (uph) volume Pick 100% 100 Pick A 75% 150 ? 7,500 Pick B 25% 25 ?Hand written plz asap... I'll rate plz fast solve it within half n hour... I'll rate
- .A team of 10 unloaders is employed in good reception bay of a large warehouse. During an 8 hour day 40 lorries arrive and it takes the team 10 minutes to unload each lorry. Each team member is paid RM3 per hour and it costs RM10 per hour to keep lorries waiting. Studies show that increasing the team to 14 men would reduce the unloading time to 7 minutes. Would it be worthwhile increasing the team to 14?DATE: NO: 4. Fach coffee table produced by profit of $9. Each bookcase yields a by Robert Wast Designers nets the firm a $412 profit. West's firm is small and its resources limited. West's firm is small and ite resources limited. During any given production period C of I week ) 10 gallons of varnish and 2 leng ths of high-quality rednood are available . Each coffee table requires approximately I gallon of varnish and I length of reduced Each bookcase takes I gallon of varnish and 2 lengths of nood. Formulae West's production-mix decision as a linear programaming problem, and solve . produced each week ? Who wing tabus and bookcases should be How Many will the maximum profit be ?Q4. Manufacturing (HW). A manufacturer is currently producing an item which has a variable cost of $0.75 per unit and a selling price of $2.00 per unit. Fixed costs are $20,000. Current volume is 40,000 units. The firm can produce what it believes is a better product by adding a new piece of equipment to the process line. This equipment represents an increase of $5,000 in fixed cost. The variable cost increase would be $0.50 per unit. Volume for the new and improved product should rise to 50,000 units. (a) What is total profit now? (b) What will be the profit with the new machine? (c) Should the company invest in the new equipment?