In the optimal solution to the Green Grass shipping model, the Miami customer's order is not satisfied. Suppose that Green Grass decides, as a matter of policy, to satisfy each customer's order (at the customer's bid price). How much profit will the company lose from this policy decision
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In the optimal solution to the Green Grass shipping model, the Miami customer's order is not satisfied. Suppose that Green Grass decides, as a matter of policy, to satisfy each customer's order (at the customer's bid price). How much profit will the company lose from this policy decision?
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- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?John own a local gold market that currently has 9870 x 870 subscriber in Instagram at a quarterly charge of R.O. 20. He notices that if he raises the price of his commodity to R.O. 24, he will lose 9870 subscriber. Assuming that subscriptions are linearly related to the price, what price should Jon charge for a quarterly subscription to maximize his revenue?A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,respectively. The production rate of the plant for bands is 200 tons/hr, and that for coils is 140 tons/hr.Based on the market analysis, it has been identified that the weekly demand is at most 6000 tons and4000 tons for bands and coils, respectively . The plant operates for a maximum of 40 hours per week. 1. In Microsoft Excel, formulate a linear programming model instance for this problem, then solve. 2. Assume that the products need to be painted after manufacturing, and the painting departmentcan paint at a rate of 600 tons per hour for bands and 400 tons per hour for coils. The paintingdepartment works only for 20 hours. Update the linear programming model instance to accom-modate this requirement, and re-solve the problem. 3. The plant is planning to introduce another product “rods” to its production mix with the followingparameters:•Profit/ton = $40•Production volume = 150…
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- In a nonlinear programming model, for any set of values of the decision variables, whether or not the constraints are satisfied is known with certainty. Is this true or false?An oil company ships to three different customers. Customer A requires 60 tons per year, Customer B requires 24 tons, and Customer C requires 8 tons. The product costs $10,000 per ton, and holding costs are estimated at 25%. Each truck costs $800 to send as a fixed cost and incurs an additional $250 charge for each stop it makes. Each truck can haul 12 tons of the product. What is the optimal delivery policy if the oil company ships to each customer individually? What is the optimal delivery policy if the oil company aggregates all shipments to the customers?A manufacturer has the capability to produce both chairs and tables. Both products use the same materials (wood, nails and paint) and both have a setup cost ($100 for chairs, $200 for tables). The firm earns a profit of $20 per chair and $65 per table and can sell as many of each as it can produce. The daily supply of wood, nails and paint is limited. To manage the decision-making process, an analyst has formulated the following linear programming model:Max 20x1 + 65x2 – 100y1 – 200y2s.t. 5x1 + 10x2 ≤ 100 {Constraint 1}20x1 + 50x2 ≤ 250 {Constraint 2}1x1 + 1.5x2 ≤ 10 {Constraint 3}My1 ≥ x1 {Constraint 4}My2 ≥ x2 {Constraint 5}yi={1, if product j is produced0, otherwiseyi=1, if product j is produced0, otherwiseWhich of the constraints limit the amount of raw materials that can be consumed? A. Constraint 1 B. Constraint 4 C. Constraint 5 D. Constraint 1 and 4 E. Constraint 1, 2 and 3
- David Joseph is a supermarket chain manager based in Milwaukee, Wisconsin. He wants to establish business relations with China because China is part of the fastest-growing economies in the world. Through one of his Chinese employees, Wang Xin, David reached an agreement to import green tea from a farm animal products import and export company in Zhejiang Province, China. The goods should be in time to reach the sales peak of Thanksgiving. David himself is also a tea lover, and he is very struck by the quality of this tea, and the packaging is better than he expected. He is looking forward to tea selling in his supermarket and even tirelessly lets Wang Xin write some bilingual advertisements for tea in local mainstream newspapers or broadcast on the radio. Because of the small volume of transactions, the freight for each transaction is relatively high. To make a profit, David's accounting department suggested that the price of Chinese green tea could be set at a slightly higher price…The Centurion apartment building in downtown Chicago has a total of 240 rental units. It offers its new tenants an 18-month lease, which is renewed on a month-to-month basis if the tenant chooses to stay longer than 18 months. The leasing office reports that The Centurion signs about 80 leases with new tenants in an average year, and that 60% of tenants who move in end up staying in the building longer than 18 months. On average, the building is 90% occupied. You may assume that a negligible number of tenants break their lease in the first 18 months. What is the average length of stay (in months) for those tenants who stay longer than 18 months (counted from when they first sign their original lease)?A trucking firm must decide at the beginning of the year on the size of its trucking fleet. If on a given day the firm does not have enough trucks, the firm will have to rent trucks from a rental company. Discuss how you woulddetermine the optimal size of the trucking fleet?