A company manufactures three types of lamps, labeled A, B, and C. Each lamp is processed in two departments, I and II. Total availablework-hours per day for departments I and II are 409 and 591, respectively. No additional labor is available. Time requirements and profit perunit for each lamp type are shown in the table to the right. The company has assigned you as the accounting member of its profit planningcommittee to determine the numbers of types of A, B, and C lamps that it should produce in order to maximize its total profit from the sale oflamps. The following questions relate to a linear programming model that your group has developed.a. What would the coefficients of the objective function be?OA. 2, 3, 1OB. 409, 591OC. 8, 7, 6OD. 4, 2, 3b. What would the constraints in the model be?OA. 4, 2, 3OB. 2, 3, 1OC. 8, 7, 6OD. 409, 591c. What could the constraint imposed by the available work-hours in department I be expressed as?OA. 4x₁ + 2x₂ + 3x3 ≤ 409O B. 2x₁ + 3x₂ + 1x3 2409OC. 2x₁ + 3x₂ + 1x₂ ≤4094Work-hours in IWork-hours in IIProfit per UnitA BC3124 2 3$8 $7 $6

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Answered: A company manufactures three types of…

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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b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made it
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.
Garfield Company manufactures a popular brand of dog repellant known as DogGone It, which it sells in gallon-size bottles with a spray attachment. The majority of Garfield's business comes from orders placed by homeowners who are trying to keep neighborhood dogs out of their yards. Garfield's operating information for the first six months of the year follows: Month January Operating Cost Number of Bottles Sold 1,020 $ 10,710 February 1,450 15,660 March 1,740 15,900 April 2,350 19,890 3,360 27,490 3,800 34,800 May June Required: 3. Using the high-low method, calculate Garfield's total fixed operating costs and variable operating cost per bottle. 4. Perform a least-squares regression analysis on Garfield's data. 5. Determine how well this regression analysis explains the data. 6. Using the regression output, create a linear cost equation (y-a + bx) for estimating Garfield's operating costs.
only HANDWRITTEN answer needed ( NOT TYPED)
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
Need only a handwritten solution only (not a typed one).
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
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A computer equipment manufacturer produces scanners and printers. The resources needed for producing these devices and the corresponding profits are; If there are $200,000 worth of capital and 5240 hr of labor available each day, how many of each device should be produced per day to maximize profit. Express answer to nearest integer.
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Dept. I Dept. II Dept. II Profit 144 Product A 240 2 3 2 $18 X Product B If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A 0 product B product C 1 1 2 $12 What is the maximum profit (in dollars)? $ 7038 X Product C 2 2 1 $15
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month

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