A manufacturing company makes two circuit boards R; and R2,constructed as follows:R1 comprises 3 resistors, 1 capacitor, 2 transistors and 2inductances;R2 comprises 4 resistors, 2 capacitors and 3 transistors.The available stocks for a day's production are 2400 resistors,900 capacitors, 1600 transistors and 1200 inductances. It isrequired to calculate how many R; and how many R2 the companyshould produce daily in order to maximize its overall profits,knowing that it can make a profit on an Ri circuit board of 5p andon an R2 circuit board of 9p.Formulate the mathematical model describing the linearprogramming (LP) problem which will maximize its overall profitsusing maximize & subject to constrains?

Given data is Profit by R1 = 5p Profit by R2 = 9p Resistors required by R1 = 3 Capacitors required…

Answered: A manufacturing company makes two…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A company manufactures plastic bottles, buckets, and cups. The profit units are $10 for a plastic bottle, $25 for a bucket,and 58 for a bag of cups. The machine that makes the goods has a capacity of 400 hours each month. The bottle takestwo hours to make, the bucket three hours, and the cup one hour. The company has a total of 890 units of plastic. Plasticbottles require three units, buckets five units, and cups one unit. In addition, there are 200 kg of a novel chemicalcomponent. This unique chemical component is employed in plastic bottles (2 kilogram), buckets (4 kg), and cups (0.5kg) . There is an order to produce only 50 bags of plastic cup. The company wants to find the optimal plan to maximizeprofit. Use the Simplex method to solve this problem.
Dana’s Ribbon World makes award rosettes. Following is information about the company: Variable cost per rosette $ 2.00 Sales price per rosette $ 6.00 Total fixed costs per month $ 6000.00 Required: 1. Suppose Dana’s would like to generate a profit of $1,120. Determine how many rosettes it must sell to achieve this target profit. 2. If Dana’s sells 2,140 rosettes, compute its margin of safety in units, in sales dollars, and as a percentage of sales. 3. Calculate Dana’s degree of operating leverage if it sells 2,140 rosettes. 4a. Using the degree of operating leverage, calculate the change in Dana’s profit if unit sales drop to 1,819 units. 4b. Prepare a new contribution margin income statement to verify change in dana's profit.
Kala is one of the top manufacturer of ukuleles. The manufacturer produces three different types of ukuleles. Its Concert produce $6 in profit per unit; its Soprano produce $4 in profit per unit; and its Tenor produce $8 in profit per unit. Each type of ukulele passes through three manufacturing stages as a part of the entire production process. The three process centers of modelling, curing and assembly has an available production time per day of 12 hours, 14 hours and 16 hours, respectively. To produce one hundred units of Concert, the time required for the process of modelling, curing and assembly is 2 hours, 3 hours and 2 hours, respectively. To produce one hundred units of Soprano, 2 hours of modelling, 2 hours of curing and 1 hour of assembly is required. Whereas 4 hours of modelling, 2 hours of curing and 2 hours of assembly is required to produce one hundred units of Tenor. Sensitivity report of the problem is given as below where C = unit of Concert to be produced each day, S…
A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.
Which one of the following is a variable to be considered when calculatingproduction lot size? a forecasted demandb customer orderc the lower of customer orders and forecasted demandd the higher of customer orders and forecasted demand
Kala is one of the top manufacturer of ukuleles. The manufacturer produces three different types of ukuleles. Its Concert produce $6 in profit per unit; its Soprano produce $4 in profit per unit; and its Tenor produce $8 in profit per unit. Each type of ukulele passes through three manufacturing stages as a part of the entire production process. The three process centers of modelling, curing and assembly has an available production time per day of 12 hours, 14 hours and 16 hours, respectively. To produce one hundred units of Concert, the time required for the process of modelling, curing and assembly is 2 hours, 3 hours and 2 hours, respectively. To produce one hundred units of Soprano, 2 hours of modelling, 2 hours of curing and 1 hour of assembly is required. Whereas 4 hours of modelling, 2 hours of curing and 2 hours of assembly is required to produce one hundred units of Tenor. Sensitivity report of the problem is given as below where C = unit of Concert to be produced each day, S=…
1 ton of material 1 ton of material 2, and 11/13 3 10 The Kashif Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of ton of material 1 and 3 ton of material 3. A ton of solvent base is a mixture of // Kashif's production is constrained by a limited availability of the three raw materials. For the current production period, Kashif has the following quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P, priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P₁ level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? O Yes. It is possible to satisfy both P₁ level goals. O No. There is an insufficient…
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Hi, Pls help with steps and answers. Thank you.
Which of the following items is most likely to be stored at the back of a warehouse, furthest away from the shipping dock?a) low number of trips and low number of storage blocksb) low number of trips and high number of storage blocksc) high number o f trips and low number of storage blocksd) high number of trips and high number of storage blocks
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