4. Given the following function y = (4x – 2)ª, find the value of x where the function takes an optimal point. State the nature of the optimal point.

Q: The relationship between labor (L) and output (Q) is given via the following equation: Q= 6L^2 -…

A: Using double derivative test to vet maximum range for maximum output

Q: Suppose the revenue function for polka dot widgets is given by R(q)=−6q2+700q , where R(q) is in…

A:

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

A: Given: the revenue function is R=x·px and px=60-0.0125x. To be find: the production level that will…

Q: JA manutacturer has determined that she marginal proffit from the Sale of x ice cream makers U…

A: To find out the profit function.

Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

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

A:

Q: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

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Q: The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the…

A:

Q: The profit equation for for Scotty’s Socks is given by P (q) = (2/3)q3 −(q^2) − 4q + 8, where q is…

A: Given the equation of profitP(q)=23q3−q2−4q+8

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

A:

Q: 4. The research department for a hardware chain has determined that at one store the marginal price…

A: Given : Marginal Price - demand of x feet of steel cable per week is: P'(x) = - 0.02 Find the weekly…

Q: 15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X +…

A: (a).    The given function is: f(x)=4x-5

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: The profit equation for for Scotty’s Socks is given by P (q) = (2q^3)− (2q^2)− 4q + 8, where q is…

A: To find the maximum of the function fx, solve the equation f'x=0 for x. If f''x<0 then the…

Q: The supply function of a form is given as p=x^2+4x+5. Find the Producer’s Surplus given that the…

A:

Q: 2. If the marginal profit is P'(x) = x3 – 2x + 100 and the profit for selling 10 items is $2000,…

A: given marginal profit euation isP'(x)=x3-2x+100profit for selling 10 items is $2000to find profit…

Q: b) Suppose that the total revenue function is given by R(x) = 46x, and that the total cost function…

A:

Q: 2. The Minimum point of y= 320

A:

Q: A firm's short-run cost curve is C(Q) = 100 + 50Q – bQ? + Q*/2. For what values of b are cost,…

A: Given: A firm’s short-run cost curve as C(Q)=100+50Q-bQ2+Q32 The values of cost, average cost and…

Q: It has been determined that the cost of producing x units of a certain item is 6x + 860. The demand…

A:

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

A:

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (102 −…

A:

Q: Suppose a company's revenue function is given by R(q) = – q° + 280q and its cost function is given…

A:

Q: Suppose that the cost function is given by C(Y) = 6Y², and the benefit function is given by B(Y) =…

A: Please check further steps for solution.

Q: 16. Suppose that for a company the income function (in dollars) is given by R(x) = -012x^3 + 1,296x…

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Given: -

Q: 2. Given the following profit-versus-production function for a certain commodity: 8 1.1 P= 200000 –…

A:

Q: 13. The Cobb-Douglas production function for a product is given by P(L, K) 912/K1 where L is the…

A: To find the values of L and K that maximize production if S360, 000 is budgeted for the production…

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Solution:GivenR(p)=-4p2+4000pTo find the unit price when revenue is maximum.Also find the Maximum…

Q: x² minimum point of y х + 5х — 4 %D х — 5

A: Given equation is y2=x2+5x-4x-5 taking square root of above equation y=x2+5x-4x-5 Now…

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. S(q)…

A:

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: 3) An air conditioning company determines that the marginal cost, in dollars, for producing the xth…

A:

Q: Consider the following total revenue function for a hammer. R = 48x – 0.01lx² (a) The sale of how…

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (98 −…

A: Given : The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q =…

Q: Consider the following.  C=x^3-6x^2+16x use the cost function to find the production level at…

A:

Q: Suppose a company's revenue function is given by R(q) = - q° +210q° and its cost function is given…

A: Given, The revenue function  Rq=-q3+210q2 The cost function Cq=460+11q  Where q is hundreds of units…

Q: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

Q: Given Cost and Revenue functions C(q) = q° -9q + 52g + 5000 and R(g) = - 3g + 2600q, what is the…

A:

Q: The following is a price demand function for a company that produces and sells themed T-shirts:…

A:

Q: 31) Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6)=…

A: Marginal cost function of a company is given is , C'(x) = 5x2 - 7x + 4  Also C(6) = 260 We have to…

Q: The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars)…

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

Q: B(Q) = 100 + 36Q – 4Q2 and C(Q) =80 + 12Q. What is N(Q)?  What are the net benefits when Q = 1? Q…

A: Answer Marginal analysis involves comparing the marginal benefits and marginal costs to take…

Q: (d) If a small change occur for the profit of Alpha machine; in what range of the change could…

A: Given: Alpha machine has a production capacity of 25 graphics tablets per hour while Beta machine…

Q: A firms production is represented by the following Cobb-Douglas function: Q = K 1 3 L 2 3. The…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2.) What is the maximum profit when the profit-versus-production function is as given below? P is…

A:

Q: Suppose the demand for a product is given by p = −0.8q + 150 and the supply for the same product is…

A: