Q2 (i) The price p,in dollars,of a certain commodity and the quantity x sold obey the demand equation p = −1 5x + 200 where 0 ≤ x ≤ 1000 Suppose that the cost C,in dollars,of producing x units is C = √x 10+ 400 Assuming that all items produced are sold,find the cost C as a function of the price p.

Q: A manufacturer of shirts determines that her fixed costs will be 500 dollars plus 9 dollars for each…

A: Calculation of above requirement are as follows.

Q: Suppose that the monthly demand function of a particular commodity is given by P= 200 -0.4x and the…

A:

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000.…

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: Given that, "Fixed costs = 15 sinks, Total costs = $2,500, Demand function q = 360-p, where q is the…

Q: (3) The demand function for a tablet is given by the model p= 200–16r where p is measured in dollars…

A:

Q: The management of Titan Tire Company has determined that the weekly demand and supply functions for…

A: Givendemand function p = 144-x2supply function P = 48+12x2

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by q = (84 -…

A:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: Demand function is Revenue function is Now, cost function is Therefore, profit function is…

Q: Suppose that the supply function for honey is p=​S(q)=0.2q+2.2​, where p is the price in dollars…

A: Given supply function P=S(q)=0.2q+2.2 →         1    equilibrium prize=$4.40→            2    So…

Q: The demand function for a certain model of a ten-speed bicycle is given by p= D(r) = -0.001z + 250…

A:

Q: The number of units of an item per month for which there is a demand is related to the unit price by…

A: Given demand function px=50.1x2+4, 0≤x≤20 where p(x) is unit price (in dollars)  and x is number of…

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: The revenue function R(x) is given by, R(x)=x×p(x)R(x)=x60-0.03xR(x)=60x-0.03x2

Q: The demand function for a certain model of a ten-speed bicycle is given by p= D(z) = -0.001z + 250…

A:

Q: A company that sells memory chips for computers established the price-demand and cost functions as:…

A: Topic- revenue and cost function  Note-: as per our guideline only first three subparts to be solved…

Q: The demand for a particular item is given by the demand function D(x) = 1400 – x² Find the…

A: Given, The demand function is given by Dx=1400-x2 Equilibrium point xe, pe=5, 1375

Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

A:

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: A nursery has determined that the demand in June for potted plants is The cost of growing x plants…

A:

Q: The demand for a particular item is given by the demand function D(x) = 1100 - x² %3D Find the…

A:

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

A: *to find:- (i) number of units (x) that gives maximum profit. (ii) maximum profit.

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) (a) Find the marginal profit for…

A: Calculate profit function  Profit function is the difference between revenue function and cost…

Q: Q2 (i) The price p, in dollars, of a certain commodity and the quantity x sold obey the demand…

A:

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

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

A:

Q: Q1 (i) If the demand function for a particular commodity is p = −0.09x + 51 and  the total cost…

A:

Q: The demand function for a certain model of a ten-speed bicycle is given by p= D(x) = -0.001a2 + 250…

A:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: We have given, The demand function p = 60 − 0.02x and the cost function C = 5000 + 40x − 0.04x2.

Q: Please see attached image

A: Part (i): The price p = -(1/5) x + 200, where p is the price in dollars, and x is the quantity of…

Q: 45 The quantity demanded per month of an item is related to the unit price by the demand equation…

A: The demand equation is given by px =450.04x2+1 To evaluate: The number of items sold to maximize the…

Q: Suppose that the supply function for honey is p​=S(q)=0.2q​+22, where p is the price in dollars for…

A: The supply function for honey is p​=S(q)=0.2q​+2.2 Where, p is the price in dollars for an ​8-oz…

Q: Assuming that p denotes the unit price (in dollars) of some product, p = -4x + 1600, where denotes…

A: This question is about application of profit and revenue using derivative

Q: The demand equation for a certain make of toys is given by p=160–0.2x, where p is the unit price in…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: for  a production level of x units of a commodity, the cost function is C(x)=100x+2500 the demand…

A: Obtain the revenue function as follows.

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500.…

A:

Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: The demand and supply functions for your college newspaper are, q = −8,000p + 1,600 and q = 3,000p +…

A: Given

Q: A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted…

A: The demand for chicken serving is given as follows:                               q=38p0.6 where p…

Q: The demand function for a company is given by q = Ap) = 3000 – 125p, with p the price in thousands…

A:

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: The manager of Joe's Burgers discovers that he will sell the other hand, he can afford to make 6z +…

A: Given demand function and supply function.

Q: The supply for a particular item is given by the function S(x) = 17 + 0.36x² . Find the producer's…

A:

Q: Suppose that Alexander’s Coffee Shop has fixed costs of $18 and variable costs per unit of $4. The…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

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 cost in dollars of making x items is given by the function C(x)=10x+700. a. The fixed cost is…

A: C(x) =10x+700 When x=0 Fixed cost =700 For 25 items Substitute x=25 C(25)=10(25)+700

Q: The demand and supply functions for your college newspaper are, q = -11,000p + 4,400 and q = 2,000p…

A: Given that the demand equation is q=−11,000p+4,400 And supply equation is given by q=2,000p+500.…

Q: Q1) A company sells a product for $150 per unit. Raw material costs are $40 per unit, labor costs…

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (87 −…

A:

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

A: Given: The management of Lorimar Watch Company has determined that the daily marginal revenue…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.