A company has a weekly marginal profit function given by P(x) = 38x - 0.33x2 - 211 dollars per item when a items are made and sold. Find the change in profit when the number of items made and sold each week increases from 110 to 158.

Q: The marginal cost of producing the xth box of light bulbs is 5 + x2 /1,000 dollars. Determine how…

A: We are given that, marginal cost of producing the xth box of light bulbs is 5+x21000 dollars.

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Find the…

A: To find the marginal revenue we find dr/dx

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: In the least-squares line ŷ = 5 − 3x, what is the value of the slope? In the least-squares line ŷ =…

A: Determine the value of slope. Slope: The slope of a least squares regression line is interpreted as…

Q: A book publisher estimates that the marginal cost ofproducing a particular title (in dollars/book)…

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: The given function of production cost is To find average rate of change of total cost ,use formula

Q: Find the points on the graph of f (x) = x3 − 3x2 + x + 4 where the tangent line has slope 10.

A:

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=7x2+5x+5…

A: Here, f(x) = 7x2 + 5x + 5 The limit definition of the derivative is Thus, we need to find f(x+h),…

Q: A company estimates that the daily cost (in dollars) of producing x chocolate bars is given by C(x)…

A: Given that  C(x) = 930 + 0.03x + 0.0004x2

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

A: Given that, Marginal cost function is following, C'(x) = 1.29 - 0.004x Where x is the number of…

Q: Suppose a product has a daily marginal revenue of 46 dollars per unit, and a daily marginal cost of…

A: Given,  Marginal Cost, MC = 30 + 1/2x marginal Revenue, MR = $46 Daily Fixed Cost = $200

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,         The total cost in dollars from the production of x printers is given by…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=2x2+5x+3…

A: we have to find the instantaneous rate of change of f(x)=2x2+5x+3 at x=3 by  limit definition of the…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 23, find…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=6x2+2x+3…

A: The limit definition of derivative is given by: We know that f(x) = 6x^2 + 2x + 3  Now we will find…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 49, find…

A:

Q: The marginal cost of producing the xth box of light bulbs is  6 + x2/1,000 dollars per box.…

A: Given: The marginal cost of producing the xth box of light bulbs is

Q: the correct formula for marginal profit is

A: Given  the correct formula for marginal profit is

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Suppose total cost in dollar from the production of x printers is given byC(x) =…

Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 3x + 5x…

A:

Q: A company estimates that the marginal cost (in dollars per item) of producing a items is 1.92…

A:

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

A:

Q: A company estimates that the marginal cost (in dollars per item) of producing a items is 1.92…

A:

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.6x + 41,…

A: Revenue fuction=∫MRdx +c

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x +…

A:

Q: The marginal cost of producing the xth box of light bulbs is 7 + x2 dollars per box. Determine how…

A:

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = −0.6x + 35, find…

A:

Q: A company has a marginal profit function given by P^1(x) = −2x + 140 where P^1(x) is in dollars per…

A:

Q: Suppose that the revenue in dollars from the sale of x campers is given by R(x) = 68,000x +…

A: Given Revenue in dollars from the sale of x campers is Rx=68,000x+48,00010+x-1-8000 To find the…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.84 −…

A: Marginal cost is the derivative of total cost.  Therefore total cost C(x) can be obtained by…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x +5x…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of…

A: The limit definition of derivative is as shown below:

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x +…

A:

Q: What should a firm do if the marginal product obtained from the last dollar spent on capital is…

A: Considering a typical firm that wants to minimize the total cost of producing a particular level of…

Q: At a certain factory, the marginal cost is 3(q - 4)2 dollars per unit when the level of production…

A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of…

Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

A: Given: Let the total number of student is 300 in the campus.

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 4x2 + 4x…

A:

Q: The marginal cost of producing the xth box of light bulbs is  5 + x2/1,000  dollars per box.…

A:

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: Let’s assume that in Kansas, a family farmer sells wheat in a perfectly competitive market. After…

A: Given After increasing the production of wheat from 220 bushels to 240 bushels, the total revenue of…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 0.006x. If…

A:

Q: The marginal cost of producing the xth box of light bulbs is 3 + x2/1,000 dollars per box.…

A: Given: The marginal cost of producing the xth box of light bulbs is MC(x) = 3+x21000 To determine:…

Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: A company estimates that the marginal cost (in dollars per item) of producing : items is 1.92 –…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.