(c) A company manufactures two products: X and Y. Product X costs $8 per unit and contains 2units of raw material 1, 6 units of raw material 2 and 4 units of raw material 3. Product Ycosts $10 per unit and contains 2 units of raw material 1, 2 units of raw material 2 and 12units of raw material 3. The company has 80 units of raw material 1, 120 units of rawmaterial 2 and 240 units of raw material 3 available. In addition, the product Y should be atleast 15 units less than product X. How many units of each product should the companyproduce to minimize the cost of production?(i)(ii)Derive the system of equations.Use the extreme point method to solve the system. Ensure that you explain eachstep in the computation.

Objective Functions and Constraints: Based on the given details, the objective…

Answered: (c) A company manufactures 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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Becton Labs, Inc., produces various chemical compounds for industrial use. One compound, called Fludex, is prepared using an elaborate distilling process. The company has developed standard costs for one unit of Fludex, as follows: Standard Quantityor Hours Standard Priceor Rate Standard Cost Direct materials 2.30 ounces $ 26.00 per ounce $ 59.80 Direct labor 0.50 hours $ 14.00 per hour 7.00 Variable manufacturing overhead 0.50 hours $ 3.40 per hour 1.70 Total standard cost per unit $ 68.50 During November, the following activity was recorded related to the production of Fludex: Materials purchased, 12,500 ounces at a cost of $305,625. There was no beginning inventory of materials; however, at the end of the month, 2,800 ounces of material remained in ending inventory. The company employs 21 lab technicians to work on the production of Fludex. During November, they each worked an average of 150 hours at an average pay rate of $12.00 per hour.…
15-8
A package holiday company is about to block book hotel rooms for the coming season. The number of holidays actually booked is equally likely to be any number between 0 and 99 (for simplicity rather than reality). Each room booked costs the company $250 and they can sell them for $350. a) How many rooms should the company book if unsold rooms have no value? b) How many rooms should it book if unsold rooms can be sold as last-minute bookings for $100 each?
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You are the buyer for a major U.S. health care company. As buyer, your job is to procure and buy parts for the production of X-Ray machines. The buyer from your sister plant in Paris, France has contacted you to supply them with 5 center sections, (a major component used in the X-Ray tube), because they will run out of these parts within 3 days. The center section is procured from a single source supplier in England, weighs approximately 40 pounds, is made of lead and has a 6-week lead time, (the time your supplier requires to manufacture the center section). Based on this criterion, answer the following questions: What mode of transportation is appropriate for shipping this part to Paris, France? What carrier will you use? Which carrier offers the best value?

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