i. formulate the LP Model;ii. identify the decision variables used in the model; andiii. determine the optimal solution using graphical method.A businessman is considering opening a small specialized trucking firm. To make the firmprofitable, it must have a daily trucking capacity of at least 84,000 cubic feet. Two types of trucksare appropriate for the specialized operation. Their characteristics and costs are summarized inthe table below. Note that truck two requires three drivers for long haul trips. There are 41potential drivers available, and there are facilities for at most 40 trucks. The businessman'sobjective is to minimize the total cost outlay for trucks.СарacityDriversTruckCost(cu. ft.)NeededSmall$18,0002,4001Large$45,0006,0003

We will construct a linear programming problem according to the given conditions and solve it using…

Answered: i. formulate the LP Model; ii. identify…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. The production manager for the COWRY soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet (D). Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. A.What is the objective function? B. Mention all the constraints 7.Draw or solve the following graphically: Max z = 3x1 + 4x2 Xq + 2x2 s 16 2x1 + 3x25 18 X1 22 X25 10 Xq, X2 20 What are the optimal values of x4, x2, and z? s.t.
The toy manufacturer in the prototype example is going to release two new toys in the market. These are the magical pink wand and the ultimate wooden sword that contributes 30 pesos and 50 pesos respectively in the total profit. The daily production input and the available supply is given below. Plastic Wood Labor Magical pink wand 3 Ultimate wooden sword 2 2 Availability 50 120 180 The manufacturer wants to determine the daily production schedule that will give them the maximum profit. i. Formulate the LP model for the problem ii. Solve the problem graphicall iii. If the objective function is changed to Max z =c,x, +c,x2, determine the range of 2 |that will keep the computed optimal solution to remain optimal. Give a logical answer.
Zania Azlett and Angela Zesiger have joined forces to start A&Z Lettuce Products, a processor of packaged shredded lettuce for institutional use. Zania has years of food processing experience, and Angela has extensive commercial food preparation experience. The process will consist of opening crates of lettuce and then sorting, washing, slicing, preserving, and finally packaging the prepared lettuce. Together, with help from vendors, they think they can adequately estimate demand, fixed costs, revenues, and variable cost per bag of lettuce. They think a largely manual process will have monthly fixed costs of $40,000 and variable costs of $1.60 per bag. A more mechanized process will have fixed costs of $75,000 per month with variable costs of $1.25 per bag. They expect to sell the shredded lettuce for $2.50 per bag. a) The break-even quantity in units for the manual process = bags (round your response to the nearest whole number). b) The revenue for the manual process at the break-even…
Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $30,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of a day The Horseshoe Mine costs $16,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 of silver. (a) How many days should each mine be operated so that the target can be met at a minimum cost? The minimum is C - 288000 at (x,y)-(0,18 (b) Suppose C cx + 16,000y. Find the range of values that the Saddle Mine's daily operating cost, the coefficient c of x, can assume without changing the optimal auton SCS (c) Find the range of values that the requirement for gold can assume. s (requirement for gold) s (d) Find the shadow price for the requirement for gold. (Round your answer to the nearest cent.) S
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: 2 = 40p.5 p0.5 Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $32,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
Quantitative research: A. Emphasizes how a participant in a given setting constructs the world around the participant B. Involves data that are contained in context C. Involves data that have the potential for revealing complexities D. Emphasizes the answer to a specific research quota
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