The demand function for a good is given by the equation P=a−bQ while the total cost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit. (b) Derive an expression for the value of Q for which profit is maximised. (2) For the f(x) = −x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of inflection, if they exis

Q: Suppose the price-demand equation of an item is p=38.66-x where x is the quantity and p is the…

A:

Q: A pharmacy mixes different concentrations of saline solutions for its customers. The pharmacy has a…

A: Given: y=1000.05+x0.005100+x To find: The value of x

Q: The total revenue function for a product is given by R = 540x dollars, and the total cost function…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: B- Find the fixed point and stability for the difference equation (map) Xn+1 = x + 1.

A: Given difference equation is  xn+1 = x2n + 1…

Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…

A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…

Q: For wages less than the maximum taxable wage base, Social Security contributions (including those…

A:

Q: The market research department of an electronics company has determined that the demand and cost…

A: Cost function is given by: C(x)=2250+5x Now, put x=300-5p C(x)=2250+5(300-5p)       =2250+1500-25p…

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and…

A: Solution

Q: The cost of driving a car includes both fixed costs and mileage costs. Assume that it costs $178.40…

A: The cost of driving a car includes both fixed costs and mileage cost Assume that it costs $178.40…

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

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.