Problem StatementThe Pyrotec Company produces three electrical products - clocks, radios, and toasters. These productshave the following resource requirements:ClockRadioToasterResource RequirementsCost/Unit$7105Labor Hours/Unit232The manufacturer has a daily production budget of $2,000 and a maximum of 660 hours of labor.Maximum daily customer demand is for 200 clocks, 300 radios, and 150 toasters. Clocks sell for $15,radios for $20, and toasters for $12. The company wants to know the optimal product mix that willmaximize profit.

This is a case of linear programming. In case of linear programming we try to get to the best…

Answered: Problem Statement The Pyrotec Company…

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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need comprehensive and correct answers.This question is about optimization.
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 340 units of calcium, 180 units of iron, and 400 units of vitamin A The number of units per ounce of each special ingredient for each of the foods is indicated in the table. Construct a Units per Ounce Food A Food B Food C Calcium 30 10 20 Iron 10 10 20 Vitamin A mathematical model to complete parts (A) through (C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution. 30 30 Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the number of ounces of food A, x, represent tine number of ounces of food B, and x, represent the number of ounces of food C. - 2 * 3 = X, + X, + %3D (Type integers or decimais.) 20
consider the production scheduling problem of the perfume polly named after a famous celebrity. the manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in january, february, march, and april, respectively. at the beginning of the year the company has an inventory of 2000 gallons. the company is planning on issuing a new and improved perfume called pollygone in may, so that all polly produced must be sold by the end of april. assume that the production cost for january and february is $5 per gallon and this will rise to $5.5 per gallon in march and april. the company can hold any amount produced in a certain month over to the next month at an inventory cost of $1 per unit. formulate a linear optimization model that will minimize the costs incurred in meeting the demand for polly in the period january through april. assume for simplicity that any amount produced in a given month may be used…
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c

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