Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,500 hamburgers on game night. When the price was raised to $3.20, hamburger sales dropped off to an average of 800 per night. The concessionaire's fixed costs were $1,162.80 per night and the variable cost was $1.21 per hamburger. Answer the following questions (A) through (F). (A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. p= 4-0.001x The domain of p is 0≤x≤4000. (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x)= -0.001x² + 4x The domain of R(x) is 0≤x≤4000. (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x) =

Assume that the linear cost model applies. If the total cost of producing 200 items at $5 each is $1690, find the cost equation. (Let x be the number of items.)C(x) =

A company makes solar panels. The company's revenue function, in dollars, is R(n)=10n, where n is the number of panels produced. The cost function is C(n) = 100(2)0 . R and Care shown on the graph below. 1000 800 600 400 200 100 in 20 Number of Panels 0. 40 60 80 a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? i) the cost function is changed to C(n) = 100(2)s ? f) What does the number that was ch part e) i) represent? English (United States) OFocus Dollars

Please circle the answer so that I can understand. Here are some steps and specify each answer of each step so that I know. I appreciate you.