Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100−0.5x where 0 ≤ x ≤ 300 is the number being produced. If they are already producing 50 machines, then how many more must they produce in order to increase revenue by $2000 ?

Q: 0.7 − e−0.5y      (in billions of dollars) and that consumption is $7.5 billion when disposable…

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Q: Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x - 0.1x2. a. Find…

A: Consider the given cost function.

Q: A manufacturer of mountain bikes has the following marginal cost function: C′(q)=500/0.4q+2 where q…

A: Marginal profit = Marginal revenue - marginal cost

Q: A company has two plants that produce the same lawn mower. If x1 and x2 are the numbers of units…

A: Given Revenue , R=300 x1+300 x2-5x22-5x12-10x1 x2-5x22x1=5 and x2=8a Marginal Revenue ,∂R∂x1…

Q: 4. Suppose that a wholesaler expects that his monthly revenue, in dollars, for small television sets…

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Q: 2+: Suppose that a company has determined its marginal revenue to be R'(x) = 50 dollars per unit.…

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Q: Joe runs a carwash stand and finds out quickly that for this business to breakeven he needs to wash…

A: The number of cars need to be wash is 10 and the washing price per car is $5.The total washing cost…

Q: Approximate the total profit

A: In this question, we have to find the total profit when 180 inrolled. we have marginal profit given…

Q: A marginal cost function is given by C' (q) = va+ 10 dollars per unit. If the fixed cost is $1200,…

A: Solved below

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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Q: Suppose that the marginal propensity to consume is dC = 0.9 – e-0.5y dy (in billions of dollars) and…

A: Let's find.

Q: The production costs per week for producing x night vision goggles is given by C (x) = 500 + 350a –…

A: Just I have used the given cost function and find its derivative at x =300 gives the required…

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A:

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x³ + 0.07x + 15x…

A: According to question given that Monthly cost of producing x chairs is…

Q: A firm has the​ marginal-demand function D′(x)=−1200x25−x2​, where​ D(x) is the number of units…

A: Given that: Marginal-demand function = D'(x) = -1200x25-x2 Initial condition: D(4) = 16000 Find the…

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =…

A: Explanation of the solution is given below...

Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is…

A: topic - differential equations

Q: Suppose that the marginal propensity to consume is dC = 0.4 – e-0.2y dy (in billions of dollars) and…

A: Given that marginal propensity is dC/dy=0.4-e-0.2y We need to find national consumption function…

Q: Suppose that the marginal-revenue function for a manufacturer's product is = 100 –², the…

A: Given the marginal cost function of a product is dcdq=q2-7q+50. Here, c is the cost of the product,…

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A: Given: C(x)=1900+8x+0.01x2+0.0002x3

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A: We have to find marginal cost function ,marginal cost at x=100 and cost at x=100.

Q: McRoberts Electronics sells 200 TVs per month at a price of $400 per unit. Market research indicates…

A: According to given, Total revenue is given by, R(x)= (200+x)(400-x) where x is the additional TVs…

Q: Suppose a company's revenue function is given by R(q)=−q3+370q^2and its cost function is given by…

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Q: The daily marginal cost function associated with the production of a type of freezer is given by C'…

A: Given: The daily marginal cost function  C' (x) = - 0.0009 x^2 + 0.06x +25 When it is integrated we…

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if a is the…

A: Given: The total cost C(x) = -0.03x2 + 2.35x + 10.53.

Q: The Bayes' Poker Table Company determines that the marginal cost, in dollars, for producing the xth…

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Q: If the revenue function for a certain item is R(x) = 20x – 0.25x², what is the marginal revenue for…

A: Given : If the revenue function for a certain item is Rx=20x–0.25x2 To find : the marginal revenue…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is C'(x)= 1.99…

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Q: Suppose that the cost to a manufacturer of producing x units of a certain motorcycle is given by…

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A:

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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Q: Suppose that the marginal propensity to consume is dc = 0.3 - e dy -0.5y (in billions of dollars)…

A: We will use concept of simple integration.

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

A:

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A: (a) Find the daily total revenue realized from the sale of 220 units of the toaster oven as…

Q: Suppose that the marginal propensity to consume is dC = 0.3 – dy - e-2y (in billions of dollars) and…

A: Given- dCdy=0.3-e-2y To Find- The national consumption function Cy and the consumptionis $5.35…

Q: Suppose that the marginal propensity to save is ds In(y + 1) = 0.96 – dy (in billions of dollars) y…

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Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: The given function is Cx=0.002x3+0.07x2+19x+700. d) The actual additional monthly cost of increasing…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

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Q: A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: Solve the initial value problem by integrating the marginal cost function.

Q: Consider the following marginal cost functions. a. Find the additional cost incurred in dollars when…

A: Given the marginal cost functions is C'x=3000-x-0.001x2. When production increases from a to b then…

Q: Suppose that the daily​ cost, in​ dollars, of producing x televisions is…

A: Given C(x)=0.001x^3+0.1x^2+69x+600

Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A:

Q: Suppose that the dollar cost of producing x appliances is ​c(x)=1300+90x−0.3x2. a. Find the average…

A: Given ​c(x)=1300+90x−0.3x2 is cost of producing x appliances.

Q: 1) Suppose that the dollar cost of producing q extra-large pepperoni pizzas is C(q) = 2200 + 15q –…

A: Given:        Cq= 2200 + 15q - 0.125q2   To FIND; Marginal cost when 30 pizzas are produced…

Q: A company has a marginal revenue function, R'(q) = -4q + 40 where q is the quantity of products…

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Q: Suppose that for a company manufacturing bluetooth and wireless neadsets, the cost and revenue…

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Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x