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- A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s = 30.000 - 20.000 e -0.00025x. The current weekly advertising costs are $4,000, and these costs are increasing at a rate of $600 per week. Find the current rate of change of sales. The current rate of change of sales is $ per week. (Round to the nearest dollar as needed.)Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)2.The monthly revenue function for a company is R(x) = x(-0.25x + 7.5x+18.75). The revenue is in thousands of dollars, and x represents thousands of products produced. This revenue model is valid for 0SxS 32. At what rate is the revenue changing when the company produces 4000 of its product? |
- EX22Complete the following table. Missing values are denoted by a number inside parentheses (X). Place your answers in the corresponding numbered fields below the table. Quantity FC VC TC AFC AVC ATC MC 0 144 0 (1) 1 2 3 4 --- --- (2) (3) 179 (4) (5) (6) (8) (9) (10) (11) 30 (14) (15) (16) (17) (18) (19) 15 (20) (21) (22) (23) (24) 60 (25) (7) m (12) (13)= 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?
- I need the answer as soon as possibleWhat are the function for MC and AC if TC = 100q + 100q28. A manufacturer of handcrafted wine racks has found that the cost C and revenue R (in dollars) in one month are related by the equation C = R2 + 12,000. 450,000 Find the rate of change of revenue with respect to time when the cost is changing by $15 per month and the monthly revenue is $25,000.
- The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $9. The company charges $25 to recap a tire. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. Determine the annual break-even volume for the Retread Tire Company operation. Graphically illustrate the break-even point using a one way table that relates volume to profit.Each graph illustrates three short-run cost curves for firms, where ATC is average total cost (also referred to as average cost), MC is marginal cost, and AVC is average variable cost. Please classify each of the graphs as valid or invalid based on what you know about the relationships between these curves.Please only do, d,e,f please!
