A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C= 0.2x + 10,000. How fast is the cost per month changing when production is changing at the rate of 18 units per month and the production level is 60 units? Costs are increasing at the rate of $ per month at this production level. (Round to needed.) increasing decreasing
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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.)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.)Find the Total Cost function as a function of q, c, d. A. w and r; and graph it in relationship to q in excel The idea is to solve the following input minimization problem ina general manner: minTC(K, L ) = wL+ rKs. t. q = AK^CL^d Make sure to set - up your spreadsheet by identifying the optimization problem, the endogenous variables, the exogenous variables and the constraint. Make sure also to show a cell that computes TRS and another that computes -w/r.
- The cost C (in dollars) of manufacturing x number of high-quality computer laser printers is C(x)=9x^4/3+9x^2/3+600,000 Currently, the level of production is 1,728 printers and that level is increasing at the rate of 250 printers per month. Find the rate at which the cost is increasing each month.The cost is increasing at about $______ per month.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.Luther’s company has just received an order for 1,200 of its Flying Z machines. The customer wants 350 of them next year, 400 the year after, and the balance in the third year. Luther estimates that after one year of production, the average worker with this one year of experience can produce 12 machines per year. However, new workers are 25% less productive in the first year. He has 25 workers with at least one year of experience to work on the first year’s order. He will need to hire new workers for any production that exceeds what these workers can produce. To further complicate matters, he believes 10% of his current experienced workforce will turnover at the end of the first year and the number of workers from his current workforce should remain steady after that. His history also shows that only 75% of new hires stay after their first year. Given these facts, how many total people should Luther plan to hire over the duration of this order? Please solve in excel. Group of answer…
- Luther’s company has just received an order for 1,200 of its Flying Z machines. The customer wants 350 of them next year, 400 the year after, and the balance in the third year. Luther estimates that after one year of production, the average worker with this one year of experience can produce 12 machines per year. However, new workers are 25% less productive in the first year. He has 25 workers with at least one year of experience to work on the first year’s order. He will need to hire new workers for any production that exceeds what these workers can produce. To further complicate matters, he believes 10% of his current experienced workforce will turnover at the end of the first year and the number of workers from his current workforce should remain steady after that. His history also shows that only 75% of new hires stay after their first year. Given these facts, how many total people should Luther plan to hire over the duration of this order? SHOW WORK ON EXCEL A. 19 B.22 C.45 D.36Ella Co. uses a predetermined overhead rate based on direct labor-hours to apply manufacturing overhead to jobs. For the month of October, Ella's estimated manufacturing overhead cost was P300,000 based on an estimated activity level of 100,000 direct labor-hours. Actual overhead amounted to P325,000 with actual direct labor-hours totaling 110,000 for the month. How much was the overapplied or underapplied overhead? Answer Format: 1,000 overapplied or 1,000 underappliedA company has invested in an online tool that is expected to generate a continuous revenue at a rate that increases 252 thousand TLs per time period t (t= 0 is when the tool begins to function). A continous promotion cost (in thousand TLs) function for 578 time periods, C(t), is also derived for the machine, C(t) = -t2 + 578t. Find out when the tool starts to generate profit? (Ignore the range of the cost function.
- 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.) $ ____ millionPlease indicate which multiple choice awnser is correct for question 1.1)1.2)1.3)Please indicate it correctly as I have had this awnsered with different letters to the awnser I was told 1.1 - A firm trebles its inputs and discovers that its output rises by a factor of four. This is an example of;Select one or more:a. constant returns to scaleb. diminishing returns to a variable factor c. increasing returns to scaled. economies of scale1.2 - Diseconomies of scale are present when.... Select one or more:a. marginalcostsriseb. long run average costs rise as output rises c. totalcostsfallasoutputrisesd. total costs rise as output rises 1.3 - If the demand for a firm’s product is price inelastic, this implies that Select one or more: a. price changes have no impact on quantity demandedb. a fall in price of 3% will lead to a decline in quantity demanded of more than 3%c. a rise in price will raise total expenditure on the goodd. a 5% rise in price will result in a fall in quantity…Lamburgs Incorporated is attempting to predict the impact of a forthcoming environmental regulation on the variable costs associated with one of their merchandise. The legislature is still debating the regulation. There is a 50% chance that the rules will not be ready in time to impact variable costs next year. Lamburgs management anticipates that when the regulation is completed, it will increase variable costs by either 5% or 10%. At the moment, the variable cost of the product is $200 per unit. What is the expected variable cost for Lamburgs' key product next year based on these assumptions?