The profit function for a certain commodity is P(x) = 190x - x² - 1000. Find the level of production that yields maximum profit, and find the maximum profit. X = units P= $

Q: Find any relative maximum or minimum points of the given function. y = x - 8x - 2

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Q: -. Maximizing Profit Suppose r(x) = 8Vx represents revenue and c(x) = 2x represents cost, with x…

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Q: A clothing manufacturer has determined that the cost of producing T-shirts is $1.50 per T-shirt plus…

A: Given: The cost of producing T-shirt is $1.50 per T-shirt and the fixed cost per month is $385. The…

Q: The demand equation for a certain commodity is p = 1/12x2 - 10x + 300, 0 … x … 60. Find the value of…

A: We have, demand function given as px=112x2-10x+300 We know that, If x units of a product are sold at…

Q: 2) A medicine company has a total profit function P(x) = − C x² + B x + A, where x is the number of…

A: By putting the values A=20,  B= 0270,  C=270 in given profit function we get p(x)=-270x2+270x+20 We…

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200+60x-0.1x². Find the…

A: here we have to use the concept of derivatives.

Q: Suppose the total revenue function is 4x? + 3x + 2. Find the average and marginal revenue. In…

A: Note:  In question 3, the function given is incorrect. So, i am solving the question 4. Question - 4…

Q: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) =…

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Q: A manufacturing plant is capable of producing 15,000 units in one shift of 8 hours. For each shift…

A: Since the fixed cost will be same irrespective of the units produced so $2000 this much cost will be…

Q: Suppose that for a certain company, C(x) = 15x + 2200 represents the total cost function, and R(x) =…

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Q: Using the profit function,  p(x)=-900p^2+22,100p-100,000 find the price per unit at which the…

A: The profit function is given by          p(x)= -900 p2+22,100p -100,000 We have to find p'(x)…

Q: A clothing manufacturer has determined that the cost of producing T-shirts is $0.50 per T-shirt plus…

A: The production cost of t shirts is $0.50 per T shirt. The fixed cost is $315 per month. The selling…

Q: uppose that an appliance maker determines that in order to sell q appliances, the price per appli-…

A: According to our guideline we can only answer first three subparts.

Q: The profit function for a certain commodity is  P(x) = 170x − x2 − 1000.  Find the level of…

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Q: 5) A company manufactures and sells x cameras per month. The monthly revenue function is given by…

A: Since you have posted multiple questions we solved the 5th questions for you To get the solution of…

Q: Cost of the function for folding bicycles is given by C(x)=2050+590x+1x2 and the demand function…

A: We first find the revenue function using: R(x)=x×p(x)=1770x Given cost function is C(x)=…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Note: As per our guidelines, we are supposed to answer only one question. kindly re post other…

Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: Given T-shirt production hiring model:T(x)=-0.5x4+4x3,0≤x≤6we need to find1)when is the rate of…

Q: portable TV’s has fixed costs of $325 and variable costs of $55 per TV. Let x be the total number of…

A: We  will solve first find the revenue function,  profit function and then find number of sales for…

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.50 + 0.005x dollars, where x is…

A: Given that the cost of producing 1 unit= 0.50+0.005x  So the cost of producing x units=…

Q: The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of…

A: From the given profit function:   px=-4x2+24000x-100,000 dollars   Now differentiate the function…

Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: c. Find the price that gives the maximum profit. Also, find that maximum profit.

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Q: Country Motorbikes Incorporated finds that it costs $200 to produce each motorbike, and that fixed…

A: To maximize the profit, we will use second derivative test

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: A fast-food restaurant determines the cost and revenue models for its hamburgers.   (a) Write the…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: GivenRevenue functionR(x)=50x-0.1x2And Cost functionC(x)=5x+30NowProfit function is given by…

Q: 2) A medicine company has a total profit function P(x) = 592X2 + 0592X + 20, where x is the number…

A: Given:         Px=-592x2+0592x+20   where x is the number of items produced. differentiating with…

Q: A person is the manager of a firm. He is considering manufacturing a new product, so h he receives…

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Q: If = 3x + 20 and = 44 – 5x  where x is the number of units produced and sold, and the cost of…

A: We know that Marginal cost =dC(x)dx= 3x + 20 C(x)=∫3x+20dx   Marginal revenue =dR(x)dx=  44 – 5x…

Q: Form a profit function for the following cost and revenue functions and find the maximum profit c(x)…

A: The cost function c(x) = 15000+35x+0.1x² and  Revenue function  R(x) = 385x-0.9x² are given

Q: The total cost (in dollars) of producing x food processors is C(x) = 1600+50x-0.4x². Find the…

A: Derivative of total cost function gives the marginal cost function

Q: A firm has monthly average costs, in dollars, given by C =  41,000 x + 300 + x where x is the…

A: Given The equation of monthly average cost is, C=41000x+300+x. Selling price per unit is, SP=$1900…

Q: For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

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Q: A company manufactures and sells x pieces of a certain product per month. The monthly cost (in…

A: Given Cx=120000+100xp=300-x15 where 0≤x≤4000

Q: The total-cost, C(x), and total-revenue, R(x), functions for producing x items are shown below,…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: For the given revenue and cost function, we need to find the maximum profit. Rx=50x-0.1x2,…

Q: An automobile dealer can sell 12 cars per day at a price of $15,000. He estimates that for each $300…

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Q: Find the minimum value of the function f(x) = 2x^2 - 7x - 9.

A: Given: f(x) = 2x² - 7x - 9

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: In the question we have to find the no of units which will provide maximum profit.

Q: The cost C of a product is a function of the quantity x of the product: C'(x) = x² - 3000x+50 .Which…

A: Please refer to the image below

Q: commodity has a demand function modeled byp = 80 − 0.2x and a total cost function modeled byC = 30x…

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Q: BMX company makes a device which has a linear total revenue curve given by  TR = 10x and a total…

A: Given that: BMX company makes a device which has a linear total revenue curve given by  TR = 10x and…

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given:  Revenue function, Rx=-0.5x-802+3200 Cost function, Cx=40x+100 Objective of the question is…

Q: Consider the following total revenue function for a hammer. R = 20x - 0.01x2 (a) The sale of how…

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Q: Find the maximum profit and the number of units x that must be produced and sold in order to yield…

A: Given: The revenue function is Rx=x2+110x+60. The cost function is Cx=1.1x2+10x+80.   Determine the…

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $8 the…

A: a) Given:         Let x be the average attendance               y be the price    The two points are…

Q: The demand for a particular item is given by the function D(x)=1500-3X^2. find the consumers surplus…

A: Given equilibrium price = 300 and demand function.

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

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Q: The cost function for producing x items is C(x) =30,000 + 150x - 0.10x2 The revenue function is…

A: We find R'(x) using the power rule R(x) = 800x - 0.6x2 R'(x)=800(1)-0.6(2x) R'(x)=800-1.2x