Q1. An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000. The following table gives the cost per handbag of each style of the bidders in RO. per handbag: Manufacturers Style P R A 12 10 8 10 11 9. 7 8 10 7 10 10 8 (a) Use the transportation model to determine how should orders to be placed by the department store to minimize the total cost? (b) Compare transportation cost by both models(NWCR and LCM)

Q1. An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000. The following table gives the cost per handbag of each style of the bidders in RO. per handbag: Manufacturers Style P R A 12 10 8 10 11 9. 7 8 10 7 10 10 8 (a) Use the transportation model to determine how should orders to be placed by the department store to minimize the total cost? (b) Compare transportation cost by both models(NWCR and LCM)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Q1. An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000. The following table gives the cost per handbag of each style of the bidders in RO. per handbag: Style Manufacturers P Q R S A 9 12 10 8 B 10 11 9 7 C 8 10 7 10 D 10 9 9 8 Use the transportation model to determine how should orders to be placed by the department store to minimize the total cost? Compare transportation cost by both models(NWCR and LCM)
Q#3 · Let p + 3q/2 = 27 be an equation involving two variables p (price) and q (quantity). Indicate the meaningful domain and range of this function when (a) the price (b) the quality are considered independent variables.
2. Newspaper Stand • A newspaper stand operator has the following sales data for one- year sales of Fine magazine. Quantity Sold per day No. of days quantity sold 10 36 11 54 12 72 13 90 14 108 • The operator wants to know how many copies to stock per day to get the maximum profit. Issues of the magazine sell for $0.50, and costs $0.30. Unsold copies cannot be returned to the distributor.
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52. During a move to a new location, the inventory records of 98 Degrees were misplaced. The bookkeeper has been able to gather some data for the July purchases: Units - Unit cost - Total cost July 5 = 10,000 - 65 - 650,000 10 = 12,000 - 70 - 840,000 15 = 15,000 - 60 - 900,000 25 = 14,000 - 55 - 770,000 On July 31, 17,000 units were on hand. The sales for July amounted to P6,000,000 or 60,000 units at P100 per unit. The entity always used a perpetual FIFO inventory costing system. Gross profit on sales for July was P2,400,000. What was the cost of the inventory on July 31?
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29 00:24 1 令.l 50 B/s Question no. 02: A Leading manufacturer of Action Figures is about to introduce four new Action Figures. The accompanying table summarizes price and cost data, combined fixed costs equal $650,000. A marketing research study predicts that for each unit sold of Noyan, 2 units of Dogan, 3 units of Bamsi and 4 units of Turgut will be sold. Action Figures Turgut Bamsi Dogan Novan Selling Price (in dollars) 35 26 24 16 Variable Cost/unit (in dollars) 17 12 12 11 Table 1 a) How many product mix units must be sold to break even? b) How does it translate into sales of individual games?
Q1. Al Rawahi Company's budgeted sales and direct materials purchases are as follows: Months Budgeted Sales Budget D M Purchases April 250000 32000 May 270000 38500 320000 44400 June Al Rawahi sales are 30% cash and 70% credit. Credit sales are collected as 25% in the month of sale, 35% in the month following sale, and 38% in the second month following sale; 2% are uncollectible. Al Rawahi purchases are 40% cash and 60% on account. Purchases on account are paid 45% in the month of purchase, and 55% in the month following purchase. Instructions A. Prepare a schedule of expected collections from customers for June.(4 marks) B. Prepare a schedule of expected payments for direct materials for June. (3 marks) Q2: O Focus ed Kingdom)
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46 The selling price of a product is OMR 2,000, mark-up is 15%. Calculate the cost price of the product. a. OMR 1,700.87 b. OMR 1,739.13 c. None of these d. OMR 2,300