Here is a 5 by 5 assignment problem. 69 14 82 36 22 71 93 74 79 120 28 75 109 44 27 69 7 96 12 41 61 24 23 The problem is to meet the demand for minimal cost. 57 72 Use the Hungarian algorithm to obtain the optimal solution and fill in your value for minimum cost: 0
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.If the number of competitors in Example 11.1 doubles, how does the optimal bid change?
- Consider the following profit matrix O Oz 02 0, 04 30 23 10 -3 a2 15 27 20 19 az 13 17 29 32 18 a4 31 21 13 No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria: а. Laplace b. Махіmin(Minimax) c. Savage d. Hurwitz (assume that a = 0.5)A company manufactures two products. If it charges aprice pi for product i, it can sell qi units of product i, whereq1 60 3p1 p2 and q2 80 2p2 p1. It costs $25to produce a unit of product 1 and $72 to produce a unit ofproduct 2. How many units of each product should beproduced to maximize profits?A company manufactures two products. If it chargesprice pi for product i, it can sell qi units of product i,where q1 = 60 - 3p1 + p2 and q2 = 80 - 2p2 + p1. Itcosts $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of eachproduct should the company produce, and what pricesshould it charge, to maximize its profit? Use spreadsheet modelling in Excel
- The alternatives shown are to be compared on the basis of their present worth values. At an interest rate of 8% per year, the values of n that you should use in the uniform series factors to make a correct comparison by the present worth method are: Alternative(A) Alternative (B) -25,000 -10,000 10,000 First Cost M&O cost/year 3,000 Salvage value 6,000 -2,000 Life 4 O A n 4 years for A and n =4 years for B OB. None of the above O C. n = 4 years for A and n =3 years for B O D. n = 12 years for A and n = 12 years for BFind Solution using Voggel's Approximation method, also find optimal solution using modi method D1 D2 D3 D4 Supply si 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 | 18 Demand 5 8 7 14A bakery must decide how many pies to prepare for the upcoming weekend. The bakery has the option to make 50, 100, or 150 pies. Assume that demand for the pies can be 50, 100, or 150. Each pie costs $5 to make and sells for $7. Unsold pies are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. Refer to the information above. Assume that the bakery has obtained the following probability information regarding demand for the pies: P(50) = 0.3, P(100) = 0.5, and P(150) = 0.2. What is the expected value under certainty? Question 5 options: 0 190 280 90
- Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be p = 10 − 42 D2 + 2D where p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. a) Derive how to find the number of units that should be produced annually to maximize profit. b) What is the maximum profit per year? c) What is the annual breakeven point? d) What is the company’s range of profitable output per year?