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.)
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- Sally Statistics is implementing a system of statistical process control (SPC) charts in her factory in an effort to reduce the overall cost of scrapped product. The current cost of scrap is $X per month. If a 75% learning curve is expected in the use of the SPC charts to reduce the cost of scrap, what would the percentage reduction in monthly scrap cost be after the charts have been used for 6 months? (Hint: Model each month as a unit of production.)Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,040 million units at a selling price of $p per unit. Assume a manufacturing cost of $40 per unit. [HINT: Recall that Profit = Revenue − Cost.] Find the function P for annual profit, in millions of dollars and in terms of p only, subject to any constraints. P(p) = ____ Find P′(p). P′(p) = ____ What selling price (in dollars) would have resulted in the largest annual profit? (Round your answer to two decimal places.) p = $____ What would have been the resulting annual profit (in millions of dollars)? (Round your answer to the nearest whole number.) $ ____ millionAn apple grower has discovered a process for producing oranges that requires two inputs. The production function is Q = min{2x, y}, where x and y are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are wx = $5 and wy = $10, respectively. The minimum cost of producing 160 units is therefore:a. $2,400.b. $1,600c. $800.d. $2,000.e. $8,000. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- 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.Prepare the scatter diagram and insert the trendline or line of best-fit. Use a scale of 2 cm to represent 1,000 units on the x-axis & 2 cm to represent $50,000 on the yaxis. Using the line of best-fit, determine the company’s fixed cost per month and the variable cost per unit. (Use 0 & 5,000 units.) Which of the two methods appear more appropriate? Explain your answer.The time to assemble the first unit on a production line is 13 hours. The learning rate is 0.81. Approximately how long will it take for the eighth unit to be assembled? The number of hours needed for yhe eighth unit to be assembled is ? hours. (Round the one decimal place.)
- A vacuum cleaner retailer has been selling 84 units per month of the basic Bissell stick model for $80. The retailer’s variable costs for that model are $51. (a) If a retail manager has only the information provided above, calculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Show your work. (b) Assume that the retail manager then finds out that when a customer buys a Bissell stick model, the customer also spends an average of $20 for vacuum cleaner bags and that the retailer’s contribution margin on vacuum cleaner bags is 55%. Given this additional information, recalculate the breakeven sales level for lowering the price of the basic Bissell stick model to $72. Again, show your work. (c) Would having the additional information about the vacuum cleaner bags make it easier for the manager to make more profit from the price decrease or would it make it harder for her to do so? Explain your reasoning.show complete solution, final answer should be in two decimal only, i will automatically give upvote.A cost of production function is given as C (n) = (n – 100)2 + 100 where C (n) is the cost in $ of producing n number of a certain product. Use the derivative to determine the n which will minimize the cost of production. n = 10 n = 100 c) n = 50 d) n = 20
- Please provide the correct answer along with the calculation. Do not use ChatGPT, otherwise I will give a downvote.New ads have been proposed and cost the company $5000 to run in each time slot. If the extra sales from each new ad are determined be sales = 11000 - 30ad. How many ads should be run? (enter as an integer).The profit function in dollars for a product is given -x^3+76x^2-380x-2800 where x is the number of units produced and sold. If break even occurs when 10 units are produced and sold find a quadratic factor of the profit function and find a number of units other than 10 that gives break even for the product.