A manufacturer produces some output called "Product" using a raw material calledInput". To production of 1 ton of Product requires 3/5 ton of Input. The manufacturerhas a contract to deliver 50 tons of Product to Store M (Store M is the "market" forProduct). Input is available in Spot N (Spot N is the source of Input, equivalent to "mine"om the Spot N. The shipProduct and Input are $2 per ton per mile. We will help the manufacturer to find the totaltransport-cost minimizing factory location. To arrive at the answer, go through thefollowing steps in parts (a), (b) and (c).(a) First consider two potential locations for the factory: Spot N and Store M.Calculate shipping costs by filling in the cells of the table below. Show yourcalculationsLocation of FactorySpot NStore MInput Shipping CostTotal Shipping Cost

There are two cases hereCase1- When factory is located near sopt N then the Shipping Cost will…

Answered: A manufacturer produces some output…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter8: Cost Analysis

Section: Chapter Questions

Problem 1E

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An assembly line can produce 60 units per hour. The line's hourly cost is $3600 on straight time (the first 8 hours). Workers are guaranteed a minimum of 6 hours. There is a 50% premium for overtime, and productivity for overtime drops by 5%. What are the average and marginal costs per unit for the following daily quantities? (a) 300. (b) 400.
Answer all parts (a)-(g) of this question.Mette has started Mersea Oysters. She aims to export oysters to Germany where she acts as aprice taker. After a couple of nights of calculations she believes that her cost function is givenby C(q) = 100 + 6q + 2q2, where q denotes kilos of oysters harvested. The market price shewill face in Germany is 50 per kilo.(a) [4 marks] Derive Mette’s marginal cost function.(b) [7 marks] Use your result from (a) to determine the profit-maximizing output level.(c) [7 marks] Explain in words why the supply function for a price taker is the same as themarginal cost function.(d) [8 marks] Calculate Mette’s profit. Illustrate marginal cost and profit in a diagram.(e) [8 marks] Now instead assume that the price is 22. Should Mette produce at this price?(f) [8 marks] Assume again that the price is 22 but that the fixed cost of producing (100) issunk and was taken in the previous period. Should Mette produce at this price in this case?(g) [8 marks] Assume again…
Answer all parts (a)-(g) of this question.Mette has started Mersea Oysters. She aims to export oysters to Germany where she acts as aprice taker. After a couple of nights of calculations she believes that her cost function is givenby C(q) = 100 + 6q + 2q2, where q denotes kilos of oysters harvested. The market price shewill face in Germany is 50 per kilo.(a) [4 marks] Derive Mette’s marginal cost function.(b) [7 marks] Use your result from (a) to determine the profit-maximizing output level.(c) [7 marks] Explain in words why the supply function for a price taker is the same as themarginal cost function.(d) [8 marks] Calculate Mette’s profit. Illustrate marginal cost and profit in a diagram.(e) [8 marks] Now instead assume that the price is 22. Should Mette produce at this price?(f) [8 marks] Assume again that the price is 22 but that the fixed cost of producing (100) issunk and was taken in the previous period. Should Mette produce at this price in this case?(g) [8 marks] Assume again…
The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X
At what output level is variable costs per unit at a minimum? Supporting Materials Steel Costs $ per ton MC ATC $175 AVC $115 $70 4,000 9,000 11,000 16,500 Steel Outp ut (in tons)
. A call center in India used by U.S. andU.K. credit card holders has a capacity of1,400,000 calls annually. The fixed cost ofthe center is $775,000 with an averagevariable cost of $2 and revenue of $3.50 percall.(a) Find the percentage of the capacitythat must be placed each year tobreak even.
IceLess is an anti-icing solution sold in gallon plastic jugs. It is poured into the windshield washer bottle of your car. Wash your windshield and the solution prevents the glass from icing over for about four hours. Production incurs the following fixed and variable costs. It is priced initially at $5.50 per gallon. 1. Fixed costs (per year) Rent Utilities Managerial salaries Flammability permit Other fixed expense Total fixed $18000 13200 20000 12000 2400 $65600 Variable Costs per gallon Glycol FreezeFree 312 Mfg labor Packaging Inert ingredients Advertising Total $1.50 .50 .20 .20 .60 .30 $3.30 What is the annual breakeven production quantity (use above data, show work)? 2. What revenue would the sale of the breakeven quantity for $5.50 per gallon generate? 3. The production department says 29000 gallons is its maximum production capability. Management insists on earning $94400 above fixed costs. All costs are as given initially. What price must be charged per gallon if only 29000…
The figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) 500 400 300 200 100 میرا 10 20 30 (a) Label each function correctly. function A -Select- function B -Select- (b) Determine the fixed costs. (c) Locate the break-even point. A B 40 50 60 Determine the number of units sold to break even. units (d) Estimate the marginal cost MC and marginal revenue MR. MC = MR-
Jony furniture store examines its inventory policy and considers using an economic order quantity (EOQ) approach. They have the following information about a table set: Annual demand Current order qu Carrying cost Order cost 3.920 sets 30 sets $80.00/set/year $200 a. What is the current total annual cost (TC) b. What is the economic order quantity (EOQ)? c. What is the total annual cost at the economic order quantity (EOQ)
The owner shop is contemlating adding anew product which will require additional mouthly payment of 6000, variable costs would be brirr. 2 per new product & its selling price is brirr. 7 each How many new products must be sold in order to break even point?
Metters Cabinets, Inc., needs to choose a production method for its new office shelf, the Maxistand. To help accomplish this, the firm has gathered the following production cost data: Variable costs (per unit) ($) Process type Annualized fixed cost labor material energy Of plant & equip. Intermittent $1,000,000 24 26 20 Mass customization $1,190,000 30 18 12 Repetitive $1,385,000 28 15 11 Continuous $1,660,000 25 15 10 Determine the most economical…
Best Ink Printing Co. received an order to print a minimum of 50,000 tickets for a concert. They have three printing machines available to meet the order they received. The set-up cost of these machines and the unit cost/ticket printed using each machine along with their maximum production are provided in the table below: Machine A B 976400 C Cost per unit $18 $21 $24 Maximum Production 30,000 25,000 30,000 Formulate an all-integer linear programming model to find the required number of tickets produced by each machine in order to minimize the production cost. What is the optimal solution for the number of tickets produced by machine B?

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