ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect to bring in $21 in revenue for each item sold.

Q: Find the number x in the interval so that the difference of the number from thrice its cube is…

A: Solution is given below:

Q: If total revenue is R = 50Q - 2Q2. At what value of Q will marginal revenue be 18?

A: Value of Q

Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 228 + 0.7x and R(x) = 4x –…

A:

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

Q: If a manufacturer's average cost equation is 200 + 48q° What is the marginal cost when 17 units are…

A: Solution is given below:

Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: A firm’s short-run production function is given by Q = 30L2− 0.5L3 Find the value of L which…

A:

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: I need some help with this optimization problem

A:

Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

Q: The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in pesos)…

A:

Q: Find the marginal average cost function if cost and revenue are given by C(x) = 167 + 6.1x and R(x)…

A:

Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: 3 Differentiate y = 3t +²- cost+e' . t

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: ​Aki's Bicycle Design has determined that when x hundred bicycles are​ built, the average cost per…

A: The average cost per cycle cx=0.1x2-1.2x+3.939 To minimize the cost, let us find the derivative of…

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

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: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: Find consumer's surplus at the market equilibrium point given that the demand function is…

A:

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: Find the marginal profit for producing x units. ( P = -0.3x³ + 10x² – 168.45x - 3000 dP dollars per…

A: Marginal profit is the measure of the increment of the profit function for unit increment of x, at a…

Q: If total revenue is R = 50Q – 2Q². At what value of Q will marginal revenue be zero?

A: We know that marginal revenue is the slope of the total revenue. So to find marginal revenue, we…

Q: If total revenue is R=50Q-2Q^2. At what value of Q will marginal revenue by -10?

A:

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x² and total revenue function given…

A:

Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

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

A: Total production cost : C(x)=500,000+80x+0.003x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

A:

Q: The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in…

A: The monthly output of a certain product is Q(x) = 2,400x5/2, where x is the capital investment in…

Q: Given the revenue and cost functions R(x)=34x−0.3x^2 and C(x)=6x+14, where x is the daily​…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

Q: find all possible functions with the givenderivative. y' = cost/2

A: It is given that, y'=cost2We have to find all possible function.

Q: A company sells its product at 60 OMR per unit. The fixed cost is 19500 OMR, and the variable cost…

A: Here we have to find the break even point. We know that break even point is the point where total…

Q: The management of Thermomaster Company, has estimated that the total weekly cost (in dollars) for…

A: Given that,  C(x)=8000+5x Average Cost function is,               C=C(x)x

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: (t) s(t) xt)

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5V9x2 –…

A:

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

A: