Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation 54 .::=2 (OSXSZD) 0.01;: +1 where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following. (3) Find the revenue function R. :I (b) Find the marginal revenue function R'. R(x) = R '(x) = (c) Compute R '(2). [Round your answer to three decimal places.) em = :1 Heed Help? 5. [14 Points] DETAILS TANAPCALC1O 3.4.011. MY NOTES PRACTICE ANOTHER Marginal Prot for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x EIectroStat speaker systems in the first year of production will be represented by the following function. where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 290): + 28,000 and R(x) = o.04x2 + 800x (a) Find the profit function P. PIX) =I (b) Find the marginal profit function P'. j (c) Compute the following values. elem = :1 p'i9,9oo} = Z Need Help? pm = 6. [14 Points] DETAILS WANEFMAC? 11.2.006. MY NOTES PRACTICE ANOTHER Find the marginal cost, marginal revenue, and marginal prot functions. (50:) = 4x2; R(x) = x3 + 5x + 17 marginal revenue I I marginal cost marginal profit I I Find all values ofx for which the marginal prot is zero. Interpret your answer. (Enter your answers as a comma-separated list.) Heed Help