Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 ______ to_______ constraint 2 ______to_______ constraint 3 ______to______
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constraint 1 ______ to_______
constraint 2 ______to_______
constraint 3 ______to_______
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- This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively. The production requirements per unit are as follows: Number ofFans Number ofCooling Coils ManufacturingTime (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 220 fan motors, 340 cooling coils, and 2,600 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows: Max 63E + 95S + 135D s.t. 1E + 1S + 1D ≤ 220 Fan motors 1E + 2S + 4D ≤ 340 Cooling coils 8E + 12S + 14D ≤ 2,600 Manufacturing time E, S, D ≥ 0 The computer solution is shown below. Optimal Objective Value = 17700.00000…
- Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:Department Product 1 Product 2 Product 3A 1.5 3 2B 2 1 2.5C 0.25 0.25 0.25During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $28 for product 2, and $30 for product 3. a. Formulate a linear programming model for maximizing total profit contribution. b. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution?c. After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $550 for product 2, and $600 for product 3. If the solution developed in part…Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table: Hours Required per Bag Product Cutting and Dyeing Sewing and Finishing Standard Bag 1/2 1 Deluxe Bag 1 2/3 The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows: Product Profit per Unit ($) Standard Bag $15 Deluxe Bag $8 Activity Weekly Hours Available Cutting and Dyeing 300 Sewing and Finishing 360 Par Inc. will sell whatever quantities it produces of these two products. The aim of the objective function for Par Inc., should be to maximize the objective value. The optimum solution is: Number of standard bags produced per week = 360 (enter your response as a whole number). Number of deluxe bags produced per week =____ (enter…Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table: Hours Required per Bag Product Cutting and Dyeing Sewing and Finishing Standard Bag 1/2 1 Deluxe Bag 1 2/3 The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows: Product Profit per Unit ($) Standard Bag $5 Deluxe Bag $8 Activity Weekly Hours Available Cutting and Dyeing 270 Sewing and Finishing 360 Par Inc., will sell whatever quantities it produces of these two products. The aim of the objective function for Par Inc., should be to ▼ Maximize Minimize Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the…
- Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table: Hours Required per Bag Product Cutting and Dyeing Sewing and Finishing Standard Bag 1/2 1 Deluxe Bag 1 2/3 The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows: Product Profit per Unit ($) Standard Bag $5 Deluxe Bag $4 Activity Weekly Hours Available Cutting and Dyeing 270 Sewing and Finishing 480 Par Inc., will sell whatever quantities it produces of these two products. a) The aim of the objective function for Par Inc., should be to Maximizethe objective value. b) The optimum solution is: Number of standard bags produced per week = ?The ABC Company manufactures three products A, B, and C. Following table lists the labor and material required per unit of each product, the sales price and the unit variable cost for each product. There are 4500 labor hours and 4000 pounds of material available for the coming week. Table Data - ABC Company Product A Product B Product C Labor (Hours) 2 1 6 Material (Pounds) 3 2.5 4 Sales Price $35 $20 $55 Unit Variable Cost $20 $10 $25 Formulate the problem to find the optimal production plan for the coming week. How many units of each product should be produced? What is the maximum total profit? Is there any resource that is not used? If so, how many units?Due to the unavailability of desired quality of raw materials, ABC Ltd. can manufacture maximum 80 units of product A & 60 units of product B. A consumes 5 units and B consumes 6 units of raw materials in the manufacture respectively and their respective profit margins one RO 50 & RO 80. Further, A requires 1 man-day of labour per unit & B requires 2 man-day of labour per unit. The constraints operating are: Supply of raw material - maximum 600 units Supply of labour - maximum 160 man-days. Formulate as a LP model & solve graphically.
- Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $28 for product 2, and $30 for product 3. a. Formulate a linear programming model for maximizing total profit contribution. b. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution? c. After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1, $550 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking…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: Supplier Component 1 2 3 1 $12 $12 $15 2 $11 $10 $12 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: Supplier 1 2 3 Capacity 575 950 800 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…Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: During the next production period the labor-hours available are 450 in department A, 350in department B, and 50 in department C. The profit contributions per unit are $25 forproduct 1, $28 for product 2, and $30 for product 3.a. Formulate a linear programming model for maximizing total profit contribution.b. Solve the linear program formulated in part a. How much of each product should beproduced, and what is the projected total profit contribution?c. After evaluating the solution obtained in part b, one of the production supervisorsnoted that production setup costs had not been taken into account. She noted that setupcosts are $400 for product 1, $550 for product 2, and $600 for product 3. If the solutiondeveloped in part b is to be used, what is the total profit contribution after taking intoaccount the…