The monthly demand function and cost function for x newspapers at a newstand are given p=10-0.002x and C=50+1.5x a. Find the monthly revenue R as a function of x. R= b. Find the monthly profit P as a function of x. P= c. Find the marginal revenue and marginal profit for x units sold

Q: Assume that it costs a company approximately.   C(x) = 400,000 + 160x + 0.003x2 dollars to…

A: C'(x)= 160+.006xC'(10000)=160+.006(10000)=220Answer: The cost is increasing by $220 per smart phone…

Q: A firm has marginal revenue MR(x)=3x and marginal cost AC(x)=x'. Find the profit obtained by the…

A: The change in the total cost, when one additional unit of a product is sold is called the marginal…

Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: NOTE: Refresh your page if you can't see any equations. . the marginal average cost function is…

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x (in…

A:

Q: The manufacturer of a product finds that the marginal revenue is MR(q) = 767 - 67q - 58q². Find the…

A:

Q: A company's cost function is  C(x) =    16x2 + 900 dollars, where x is the number of units. Find…

A: Given cost function

Q: The marginal cost of producing the xth box of CDs is 30 + x + (1/x2)   The total cost to produce…

A: Given,            The marginal cost of producing the xth box of CDs is  30+x+1x2.            The…

Q: rginal Revenue function for a company's product is: MR = 220000 - 18x where x equals the number of…

A: Given: To explain the given statement as follows, Here, the Marginal Revenue = 220000 - 18x. To find…

Q: The total cost function of a company for producing x units of products is given by C(x) = 0.0002 x -…

A: The marginal cost is given by the first derivative of the cost function.

Q: The marginal cost of manufacturing x yards of a certain fabric is C(^)= 3-0.01x + 0.000006x (in…

A: Raised in cost

Q: The marginal cost function for a computer chip manufacturer is MC(x) = 1// x2 + 1, and fixed costs…

A:

Q: The cost C ( in dollars) of producing x units of a product is given by C= 3.6√X + 50. A) Find the…

A:

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A:

Q: The marginal revenue from selling x cameras is 105−0.06x dollars per camera. Find the revenue…

A: Given that  The marginal revenue from selling x cameras is 105−0.06x dollars per camera

Q: The monthly revenue associated with renting a total of x apartments is  R(x)=1,500−.4x2 .  The…

A: Given that, The monthly revenue associated with renting a total of x apartments is Rx=1500-0.4x2 The…

Q: The marginal cost function associated with producing x widgets is given by C'(x) = −0.6x + 20 where…

A:

Q: A manufacturer has determined the marginal-cost function dc/dq below, where q is the number of units…

A:

Q: The marginal cost of producing the xth box of DVDS is 9 + and the fixed cost is $100,000. Find the…

A:

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given query is to find the cost function.

Q: The demand function for a certain boat company's 34 ft Sundancer yacht is p = 800 − 0.01x ln(x)…

A:

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: The price-demand and cost functions for the production of microwaves are given as p = 235-x/30…

A: Question- The price-demand and cost functions for the production of microwaves are given as   p =…

Q: The cost C (in dollars) of producing x units of a product is given by C= 3.6√X + 500 A) Find the…

A: Given cost,

Q: The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their…

A: Cx=100+44x-0.03x2 Average cost is,…

Q: The marginal revenue function of a company is: I'(x) = 10 – 0.02x Determine: a) The income that will…

A:

Q: Consider the marginal cost function C′​(x)=400+8x−0.01x^2.   a. Find the additional cost incurred in…

A: Given the marginal cost function: C'x=400+8x-0.01x2 a. To find the additional cost incurred when…

Q: The function for the total cost for producing x units of a product is F(x)=24.8x+1,895. What is the…

A:

Q: The production function z for a country was once estimated as z=xyo.5 where x stands for the amount…

A: We will find partial differentiation of z with respect to x and y.

Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: Given query is to find the the average cost function and cost function

Q: 80x MP(x) = 0 < x < 100 Vт + 576

A: Given that , MP(x)=80xx2+576 We need to evaluate and interpret ∫74580xx2+576dx Let,…

Q: The marginal cost of producing the xth box of CDs is 60 + x + The total cost to produce 100 boxes is…

A: Solve the given

Q: The cost function for producing x items is C(x)=30,000 +200x - 0.10x2 . The revenue function is…

A:

Q: The marginal cost of manufacturing æ yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A: This is a problem related to changes in cost per yards of production. Based on the general formula…

Q: The marginal cost function for Mark Hall's bulk greeting cards is given by C"(x) = 3x-0.75 dollars…

A:

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

A: Given : C(x) = 0.01x² - 3x + 229 and        R(x)  = 429 - 2x

Q: The marginal cost of manufacturing æ yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A:

Q: Find expressions for marginal revenue in the case when the demand equation is given by 1000 (a) P=…

A: (a).   The demand equation is: P=100-2Q where Q is the quantity of the product and P is the price…

Q: The price p(in dollars) and the demand x for a certain digital clock radio is given by the…

A: To find the marginal revenue function and revenue function.

Q: A company's marginal cost function is C'(x)=0.015x^2-2x+80 dollars, where x denotes the number of…

A: To determine the cost of production.

Q: The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their…

A: Definition used -          Marginal cost =dCdx          Average cost =C(x)x

Q: B. The profit and cost functions for the sale of college polo shirts are given by P(x)=650x-8x'+7250…

A:

Q: The marginal revenue function for selling x units is 10 + 4x. Find the increase in revenue if…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x² (in…

A:

Q: C=f(Y) in the Consumption function expressed in closed form, C; consumption expenditures and Y;…

A: To calculate and interpret:  The Marginal Propensity to Consume for the consumption function. Given:…

Q: Assume that it costs a company approximately C(x) = 400,000 + 120x + 0.002x2 dollars to manufacture…

A: Here we will use derivative to find marginal cost . As marginal cost is rate of change of cost So it…

Q: A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total…

A: Let's find.

Q: The price-demand and cost functions for the production of microwaves are given as p= 265 - 60 and…

A:

Q: The total daily profit function, in dollars, for the food truck Crepes by Monice is given by the…

A: Given profit function p(x) = 10(x^2 - 1000)^(1/3) – 287 Marginal profit = dP(x)/dx

Q: The marginal cost of producing the xth box of DVDs is  11 +  x2 50,000 and the fixed cost is…

A: Marginal cost of production of box of DVD's is given below C'(x) = 11 + x250000 Fixed cost = 100000

Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

A:

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.