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- A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 350x − 1 100 x2 dollars, how many items, x, should the firm produce for maximum profit?x = itemsFind the maximum profit.$A firm can produce only 1300 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x − 1/100x^2 dollars, how many items, x, should the firm produce for maximum profit? X = ___ itemsFind the maximum profit._____$A firm can produce only 2900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x −1/100x2 dollars, how many items, x, should the firm produce for maximum profit? x = _____ itemsFind the maximum profit.$
- A cell phone factory has a cost of production C(x) = 175x + 30,000 and a revenue function R(x) = 300x. What is the break-even point?The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?A fast food restaurant has a cost of production C (x)=12x+90 and a revenue function R(x)= 7x. When does the company start to turn a profit? If there is no solution, enter NS. If there is an infinite number of solutions, enter IS.
- Given that 3x+4 and g(x) =3-x^2, calculate5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?Find a quadratic equation for a function y=f(x) which crosses the x-axis at x=5 and x=6, and which crosses the y-axis at y=-60. What would f(x) equal?
- Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)Find f by solving the initial-value problem. f '(x) = 6x2 − 12x, f(3) = 6Suppose a baby food company has determined that its total revenue R for its food is given by R = -x^3 + 45x^2 +525x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue? A production level of_____thousand units will maximize revenue