A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.
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- 6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution ShaftQ: Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$5 consider Cake (C) 0 -0.5 4.5 0.5 1E+30 $C$5 consider Dozen Cookies (D) 10 0 10 1E+30 1 what does the value minus .5 for the reduced cost of C mean (other than it is the change in thevalue of the coefficient in the objective function so that the solution includes a positive amountof C)?
- 2. If the projected or forecasted sales of Malinao Bakery for the month of Januaryis 2100 loaves of bread, beginning inventory 50 loaves and the selling price isP50 per loaves. How much are the projected sales in peso of Malinao Bakeryfor January?A. P100,000. C. P107,500.B. P100,500. D. P105,000.Q1. General Appliance Corp. produces refrigerators at three plants: Marietta, Minneapolis and Phoenix. They ship them to major retail outlets in Chicago, Los Angeles and New York City. The accounting, production and marketing departments have provided the following information in the given tables; Plant capacities over the next planning period, retail outlet demand and unit cost of shipping between any plant and retail outlet. The company would like to minimize the cost of their transportation network by identifying how many units to ship between each plant and retail outlet. 1. Formulate this linear optimization problem by clearly listing the decision variables, objective function and constraints. 2. Create a spreadsheet model for this problem and solve it using Solver. What is the minimum cost? Plant Supply Marietta 1200 Minneapolis 800 Phoenix 1600 Retail Outlet Demand Chicago 650 Los Angeles 1450 New York City 1500…Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 Which parameter is most sensitive to an increase in its value?
- Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the allowable range for the right-hand-side for Resource C?4. Ana owns a consulting business that helps software companies market their services to school districts. She earns an average of $4635.7 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1676.6. How many contracts must she facilitate each month in order to break even? a. 2.37 b. 1.51 c. -2.37 d. -1675.09 e. 10966.14 f. None of the other options.Q4) Jackson Hole Manufacturing is a small manufacturer of plastic products used in theautomotive and computer industries. One of its major contracts is with a large computercompany and involves the production of plastic printer cases for the computer company’sportable printers. The printer cases are produced on two injection molding machines. The M-100machine has a production capacity of 25 printer cases per hour, and the M-200 machine has aproduction capacity of 40 cases per hour. Both machines use the same chemical material to produce the printer cases; the M-100 uses 40 pounds of the raw material per hour and the M-200uses 50 pounds per hour. The computer company asked Jackson Hole to produce as many of thecases during the upcoming week as possible; it will pay $18 for each case Jackson Hole candeliver. However, next week is a regularly scheduled vacation period for most of Jackson Hole’sproduction employees; during this time, annual maintenance is performed for all equipment inthe…
- 9.5 Capital Healthplans Inc. is evaluating two different methods for providing home health services to its members. Both methods involve contracting out for services, and the health outcomes and revenues are not affected by the method chosen. Therefore, the net cash flows for the decision are all outflows. Here are the projected flows: Year Method A ($) Method B ($) 0 (300,000) (120,000) 1 (66,000) (96,000) 2 (66,000) (96,000) 3 (66,000) (96,000) 4 (66,000) (96,000) 5 (66,000) (96,000) What is each alternative’s IRR? If the opportunity cost of capital for both methods is 9 percent, which method should be chosen? Why?Course: Microeconomic - Long and short run costs The company "Mr. Tomas" manufactures tricycles being its productive inputs steering wheels, frames and seats (v) and wheels (r). Each tricycle has 3 wheels (Pr = $2) and 1 steering wheel, 1 seat and 1 frame (Pv = $4). Determine:a. The production function of "Mr. Tomas"b. The short-run cost function (for r = 30).c. The long-run cost functiond. How much it costs the firm to produce:1. the tenth unit in both the short run and the long run?2. the 40th unit?Q5.ABCCompany knows that the demand for its product during each of the next three months will be as follows: month 1, 2 units; month 2, 3 units; month 3, 2 units. At the beginning of each month, the company must determine how many units should be produced during the current month. During a month in which any units are produced, a setup cost of $2.5 is incurred. In addition, there are variable costs of $1.5, $1 and $2 for the month 1, month 2 and month 3 respectively. The inventory cost is $ 1.5 for each product in stock at the end of a month. Products produced during a month may be used to meet demand for that month or any future month. Given that the initial inventory level is 1 unit. Use an appropriate dynamic programming method to determine a production schedule that will meet all demands on time and will minimize the sum of production and holding costs during the three months.