c. Find the profit and the instantaneous rate of change of profit at a production level of 800 car seats, and write a brief verbal interpretation of these results.
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- The profit from the supply of a certain commodity is modeled as P(q) = 71ge-0.29 dollars where q is the number of units produced. 0 ≤ q ≤ 100 (a) Write an expression for the rate of change of profit. (Be sure to use q as the independent variable.) P'(q) dollars per unit (b) At what production level in the domain 0 ≤ q ≤ 100 is the rate of change of profit zero? (Round your answer to the nearest whole number.) q= units (c) What is profit at the production level found in part (b)? (Round your answer to two decimal places.)1. The cost in dollars, of producing x golf balls is given by: C(x) = 0.35x + 64 000 The average cost per golf ball is given by C(x) 0.35x + 64 000 Č(x) 1.1 Find the average cost per golf ball of producing а. 2000 b. 20 000 c. 200 000 1.2. What is the equation of the horizontal asymptote of the graph of C ? Explain the significance of the horizontal asymptote as it relates to this application.Isoquant curves Gym requires exactly 3 bottles of water per athlete to maximise performance (athletes on horizontal) What is the shape is the isoquant curve? Find slope of cuve at: (20,15) (5,25) (5,15)
- A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both functions of the number of tires, n.a) Describe what is meant by C'(4) = 8b) Generate a mathematical equation, using function notation, to model the following statements: for (b) + (c) "The marginal revune for 15 tires sold decreases by $1."c) "The revenue at 3 tires equals the change in cost at 5 tires"E Let the demand function for a product be given by the function D(q) = -1.65g + 270, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $3 per item produced. If 96 items are produced and sold, find the following: A) The total revenue from selling 96 items (to the nearest penny). Answer: $ B) The total costs to produce 96 items (to the nearest penny). Answer: $ C) The total profits to produce 96 items (to the nearest penny. Profits may or may not be negative.). Answer: $ Question Help: C ME PE Video 66°F Mostly cloudyKendra bought 208 donuts for $80. Her profit was $45 once she had sold 100 donuts. Which equation below represents Kendra's profit P(n). as a function of the number sold, n?
