Example 7. A media specialist plans to allocate advertising expenditure in threemedia where unit costs of a message are Rs. 1,500, Rs. 1,250 and Rs. 1,000respectively. The total advertising budget available for the year is Rs. 50,000. Thefirst medium is a monthly magazine and it is desired to advertise not more than oncein one issue. At least five advertisements should appear in the second medium and thenumber of advertisements in the third medium should strictly lie between 6 and 10.The effective audience for unit advertisement in the three media is given below:Medium123Expected effective audience :50,00040,00025,000Formulate a linear programming problem to find the optimum allocation ofadvertisements in three media that would maximize the total effective audiencea. 1..CS Scanned with CamScanner

Answered: Image /qna-images/answer/bb8b29c1-80b2-45d4-b490-20a4298a1a53.jpg

Answered: Example 7. A media specialist plans to…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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Suppose one canoe rents for 40,and2 is taken off the price for each additional canoe rented by a ground. What size group gives the most income? Assume that there are 20 canoes available.
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.
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RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. a. Given the costs below, draw a network representation for this problem. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 460 520 S1 250 300 500 Auction 2 450 500 S2 300 550 450 b. Formulate this problem as a transshipment…
Example 61. A Television Co. can sell around 2500 television per year. The annual holding cost per T.V. is Rs 10. To re-order there is a basic Rs 20 service fee per order plus Rs 10 insurance charge for each television ordered. What economic lot size should the store re-order to minimise the total inventory cost? Also find the number of orders to be placed.
Robots for you, Inc. manufactures robots that help with household tasks. Their fixed costs associated with production of their robot model CJU589 amount to $5192 per month. Labor and materials for each robot model CJU589 are $46 per unit, and the company sells the robot model CJU589 to resellers for $68 per unit. Let a denote the number of units of robot model CJU589 produced and sold by Robots for you, Inc. on a given month. Determine: a) the corresponding monthly total costs C(x) = b) the corresponding monthly total revenue R(x) = = c) the corresponding monthly total profit P(x) = d) the number of units of robot model CJU589 that Robots for you, Inc. needs to produce and sell in order to make a profit: $ Submit your final answers into each answer box and upload a file with your explanation using the "Add Work" box.
The cost of materials for manufacturing a mobile is RO 4 per unit and the cost of labour cost is RO 3 per unit and cost of overheads per unit is RO 2 per unit. Fixed cost is RO 250. What is the total variable cost if the firm produces 600 mobiles? a. RO 3000 b. RO 4200 c. RO 5400 d. RO 5650
5. A company sells four types of boxes (B1,.B4) ranging in size from 24 to 33 cubic feet (size is measured as volume). The demand and size of each box is given in the table below. The variable cost (in dollars) of producing each box is equal to the box's volume. A fixed cost of $1,000 is incurred to produce any of a particular box. If the company desires, demand for a box may be satisfied by a box of larger size. Formulate and solve a shortest-path problem whose solution will minimize the cost of meeting the demand for boxes. B1 B2 B3 B4 Size 33 30 26 24 Demand 400 300 500 700 Considering that this problem can be formulated as a shortest path model, answer the following questions: Define nodes, arcs, and arc properties in words. Calculate all arc costs and show your calculations in detail. Draw the network graph showing the relevant parameter values on the network. • Formulate the shortest-path model for this problem.
From the table plz answer these two questions in 10 min plzz plz and take a thumb up

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