1. For the following application problem: introduce variables, make a chart for the information,and formulate the mathematical linear programming problem, but DO NOT attempt to solvethe mathematical problem.Chocs-R-Us manufactures a Milk Chocolate Assortment and Dark Chocolate Truffles. Eachcase of Milk Chocolate Assortments costs $175 to make, requires 1.5 hours of employee time,and sells for a profit of $65. Each case of Dark Chocolate Truffles costs $155 to make, requirestwo hours of employee time, and sells for a profit of $40. Chocs-R-Us has a weekly budgetof $16,000 for manufacturing costs, and has 320 hours of employee time available each week.How many cases of Milk Chocolate Assortments and Dark Chocolate Truffles should be madeeach week to give as great a profit as possible? (Assume that all manufactured cases of MilkChocolate Assortments and Dark Chocolate Truffles are sold.)

Answered: Image /qna-images/answer/200f878e-2b70-46c8-b819-3110d2362c0c.jpg

Answered: 1. For the following application…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…
Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 47,500 labor-hours and $3,413,000 available for the contractor's use. Belfair 3,700 $279,600 $25,000 Wexford 5,000 Aries 3,000 $205,000 $20,000 Labor-hours Capital Profit $350,000 $30,000 a. Building how many of each type of house will maximize her profit b. What is the maximum possible profit?
6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
Formulate but do not solve the following exercise as a linear programming problem. A financier plans to invest up to $400,000 in two projects. Project A yields a return of 10% on the investment of x dollars, whereas Project B yields a return of 13% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% of the total investment. How much should she invest in each project to maximize the return on her investment P in dollars? MaximizeP= subject to the constraints ? amount available for investment? allocation of funds?
Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 70 first-class, 52 tourist, and 108 economy-class passengers. The first plane costs $4100 for the trip and can accommodate 36 first-class, 16 tourist, and 18 economy-class passengers; the second plane costs $4800 for the trip and can accommodate 8 first-class, 10 tourist, and 42 economy-class passengers; the third plane costs $6300 for the trip and can accommodate 18 first-class, 36 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? X = ---Select--- y = ---Select--- ---Select--- Z |||| ---Select--- | F = AC UB Subject to X ---Select--- 0, y ---Select--- (objective function) (first-class passengers) (tourist passengers) (economy-class passengers) 0, z ---Select--- 0 (nonnegativity constraint)
c. State the # of c-47 and c- 54's the Americans used to maximize their carrying capacity's d. What are the advantages/disadvantages of solving the liner programming problem using the graphing method vs the simplex method?
Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD sets 42-in. LCD sets 42-in. plasma sets 50-in. plasma sets profit $ 20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly time…
Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
which options are correct ?

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