Consider a manufacturing process that produces 6000 scarves at a cost of $600,000and 12,000 scarves at a cost of $900,000. Each scarf produced can be sold for $170.Assume a linear relationship exists between the number of scarves produced and thecost. In this scenario, the marginal cost m is $50Aand the fixed cost bis $A

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Answered: Consider a manufacturing process that…

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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Assume that at a price of $2.00 per pound, the annual supply of coffee beans in Country A is 8 million pounds, while the demand is 10 million pounds. At a price of $3.00 per pound, the supply is 10.2 million pounds, and the demand is 8.6 million pounds. Assume that the price-supply and price-demand equations are linear. Write an equation for each (price on the y-axis) Find the equilibrium point (point of interception of the two linear equations) Discuss the significance of the equilibrium point in this case Graph the two equations in the same Cartesian system (upload)
1. The phone company Boom Mobile provides a calling service with a fixed cost of $17 per month, plus a variable cost of $0.12 per minute of calls. a. Presents a linear model, determining the total cost C per call service in the month. b. What does the slope represent in the linear model?
A company discovers that to produce x=x=600 new electronic parts, it will cost y=y=$40400. To produce 760 new electronic parts, it will cost $48880.Compute the slope of the costs and choose the most accurate statement from the following: Costs are decreasing at a rate of $53 per item. Costs are decreasing at a rate of $59 per item. Costs are decreasing at a rate of $54 per item. Costs are increasing at a rate of $53 per item. Costs are increasing at a rate of $59 per item. Costs are increasing at a rate of $54 per item
A company produces 1200 widgets a week at a total cost of $15,000 and 1800 widgets a week at a total cost of $21,000. Find the company's weekly fixed costs and the marginal cost per widget.
Complete the following sentence: In a linear cost function, the marginal cost is the --- abstract additional fixed cost per item.
A company charting its profits notices that the relationship between the number of units sold x and the profit P is linear. If 600 units sold results in $4623 profit and 675 units sold results in $8598 profit, find the marginal profit, which is the rate of change of the profit. The marginal profit is
Assume that the linear cost model applies. If the total cost of producing 200 items at $5 each is $1690, find the cost equation. (Let x be the number of items.)C(x) =
A firm produces headphones in two qualities, Basic (B) and Premium (P). For the coming year, the estimated quantity produced of B is 60% higher than that of P. The firm makes a markup of 170% on both products. The ratio between the profits per unit between P and B is 2. The cost price for P is $260. If the profit target is $115 362 over the next year, how much of each of the two qualities must be produced and what are the two selling prices? (Round the quantities to the nearest unit and the prices to 2 digits after the decimal point if needed) Quantity of B = Answer units Quantity of P = Answer units Selling price of B = Answer $ Selling price of P = Answer $
Answer A and B with work shown
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.
Assume that the linear cost model applies. If the total cost of producing 1600 items at $15 each is $24410, find the cost equation. (Let x be the number of items.)C(x) =
There is a power plant that charges 10 cents per kilowatt hour for electricity and produces 1,000 tonnes of emissions annually. If this power plant were to reduce their annual emissions by 1 tonne it would cost them $250. What would be the marginal cost for this power plant? a. $25 b. $100 c. $250 d. $500

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