A manufacturer of computers must fill orders from two dealers. The computers are stored in two warehouses located at two airports, one in City A and one in City B. The dealers are located in City C and City D. There are 50computers in stock in City A and 90 in stock in City B. The dealer in City C orders 40 computers, and the dealer in City D orders 30 computers. The table that follows shows the costs of shipping one computer from each warehouseto each dealer. Find the shipping schedule with the minimum cost. What is the minimum cost?The schedule with the minimum cost sendscomputers from City A to City C,City ACity BCCity C$130$110City D$195$170computers from City A to City D, computers from City B to City C, and computers from City B to City D.

The number of computers stocked in City A = 50 The number of computers stocked in City B = 90 The…

Answered: A manufacturer of computers must fill…

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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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
The prices of 3 commodities X, Y Z are not known. A sells 5 units of X, 4 units of Z and purchases 6 units of Y. B sells7 units of X, 4 units of Y and purchases 3 units of Z. C sells 2 units of X, one unit of Y and 6 units of Z. In this process,A, B and C earn respectively Rs. 15, Rs. 19 and Rs. 46. Find the prices of the commodities X, Y and Z
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
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
Mexico City Bank of Commerce and Industry is a busy bank. Due to different customers' needs, it needs to assign a different number of tellers at the counter at different times of each day. The table below indicates the number of bank Employees/tellers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. The branch will hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a summary of the info. в Етployees Full-time Employees: The bank currently has employed 18 Full time tellers/employees. Full-time tellers that work from 9 a.m. to 5 p.m. Each full-timer will be paid $85 per day on average. The 18 employees can't be layoff. However, the manager may use only Part of the 18 Full-Time Employees in this branch and relocate the rest to another branch with a relocation-related cost $10 per-employee per-day. That is, the employees to be relocated to another department will cost this department $10, instead of $85, a…
Need only a handwritten solution only (not a typed one).
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost.
A manufacturing company receives orders for engines from two assembly plants Plant I needs at least 45 engines, and plant Il needs at least 32 engines. The company can send at K most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant il gives similar $10 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs. subject to the given constraints? The number of engines to send to plant I is. The number of engines to send to plant II is

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