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1. [-/1.25 Points] DETAILS HARMATHAP12 9.9.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R = 36x - 0.02x2. (2) Find R(100). ell what it represents. O The actual revenue of the 100th unit is this amount. O The revenue increases by about this amount when the number ed from 100 to 101. O 100 units produce th O The revenue decreases by about this amount when the ber of units is increased from 100 to 101. O 101 units produce this amount of revenue. (b) Find the marginal revenue function. (c) Find the marginal revenue (in dollars per unit) at x = 100. $ per unit Tell what it predicts about the sale of the next unit and the next 3 units. The sale of the next unit will (-Select-- V ) the revenue by about $ venue by about $ (d) Find R(101) -R(100). $ Explain what this value represents. O actual revenue from the 101st unit O actual revenue from 101 units O marginal revenue at x = 100 O actual revenue from 100 units O actual revenue from the 100th unit Need Help? Read It 2. [-/1.25 Points] DETAILS HARMATHAP12 9.9.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Cost is in dollars and x is the number of units. Find the marginal co on MC for the given cost function. C(x) = 800 + 18x + 0.03x MC = Need Help? Read It Watch 3. [-/1.25 Points] DETAILS HARMATHAP12 9.9.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the cost function for a commodity is C(x) = 80 + x dollars. (@) Find the marginal cost at x = 9 units. MC(9) = Tell what this predicts about the cost of producing 1 additional unit. The cost to produce the 10th unit is predicted to be $ b) Calculate C(10) - C(9) to find the actual cost of producing 1 additional unit. leed Help? Read It Which 4. [-/1.25 Points] DETAILS HARMATHAP12 9.9.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER ber of units. Suppose that the total revenue function is given by R(x) = 49x and that the total cost function is given by C(x) = 70 + 30x + 0.1x2. a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = C) Find MP at x = 100. MP(100) - Explain what it predicts. O At x = 100, MP(100) predicts that cost will increase by [MP(100)| dollars. O At x = 100, MP(100) predicts that cost will decrease by [ MP(100) | dollars. O At x = 100, MP(100) predicts that profit will increase by [MP(100)| dollars. O At x = 100, MP(100) predicts that profit will decrease by [ MP(100)| dollars. (@Find P(101) - P(100). explain what this The sale of the 100th unit will decrease profit by [P(101) - P(100)| dollars. O The sale of the 101st unit will decrease profit by [P(101) - P(100)| dollars. O The sale of the 100th unit will increase profit by [P(101) - P(100)| dollars O The sale of the 101st unit will increase profit by [P(101) - P(100)| dollars. Need Help? Read It Watch 5. [-/1.25 Points] DETAILS HARMATHAP12 9.9.031 . MY NOTES ASK YOUR TEACHER The graph of a company's profit function is shown. Use the graph to answer the following questions about points A, 8, and C. P(x) 3000- 100 -100 100 200 30 400' Units O A, B, C (a) Rank from smallest to largest the amounts of profit received at these points. O A, C. B B, A. C O B, CA O C, A, B O C, B, A Explain your choices. The profit is represented by the slope at each point. O The profit is re resented by the P(x) coordinates. O The profit is represented by the x coordinates. Note whether any point results in a loss. (Select all that apply.) O B OC none of these b) Rank from smallest to largest the marginal profit at these points. O A, B. C O A. C .E O B, A. C O B , C. A O CAB O C, B, A Explain your choices. O The marginal profit is represented by the slope at each point O The marginal profit is represented by the P(x) coordinates. O The marginal profit is represented by the x coord DA Note whether any marginal is negative. (Select all that apply.) O none of these Explain what it means for a marginal to be negative. O It means you will gain money on the sale of the next unit. O It means the next unit will be harder to sell. O It means the next unit will be easier to sell. O It means you will lose money on the sale of the next unit. Need Help? Read It [-/1.25 Points] DETAILS HARMATHAP12 9.9.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A company produces chocolate ost per unit of 0.50 + 0.005x dollars, where x is the number produced. If the price on the com tive market for a bunny this size is $9.00, how many should the company produce to maximize its profit? bunnies Need Help? Read It