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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Solve the following linear programming problem. You are taking two dietary supplements daily: Supplement A and Supplement B. An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium. An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium. Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get. How many ounces of each supplement should you take daily to reach your goals? Ounces of Supplement A = Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B = Blank 2. Fill in the blank, read surrounding text. How many units of sodium will you get daily under these circumstances? Units of Sodium = Blank 3. Fill in the blank, read surrounding text.
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)
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 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 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
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 ?
State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A firm makes products A and B. Product A takes 3 hours each on machine L and machine M; product B takes 3 hours on L and 2 hours on M. Machine L can be used for 13 hours and M for 8 hours. Profit on product A is $7 and $10 on B. Maximize profit.
Formulate a linear programming problem that can be used to solve the following question. A dealer has 8900 pounds of peanuts, 6000 pounds of almonds, and 3800 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $2.40 per pound and consists of 60% peanuts, 30% almonds, and 10% cashews. The second mixture wholesales for $3.20 per pound and consists of 15% peanuts, 45% almonds, and 40% cashews. How many pounds of each mixture should the dealer make to maximize revenue? x = ---Select--- y = ---Select--- ---Select--- v|F= Subject to (objective function) (pounds of peanuts) (pounds of almonds) (pounds of cashews) x ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)

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