What is the average time per unit required to complete the first 3 units of a production process if the first unit requires 3 hours and the learning curve has a slope parameter X = 0.75? Hint: time per unit = K * (unit number) raised to the nth power, where n = ln X/ ln 2. The nearest answer is: a. 1.58 hrs b. 1.81 hrs c. 2.02 hrs d. 2.23 hrs e. 2.38 hrs
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- The time to assemble the first unit on a production line is 6 hours The learming rate is 0 86. Approximately how long wilttake for the seventh unit to be assembled? The number of hours needed for the seventh unit to be assembled is hours (Round to one decimal place) nswer in the answer boxQ4 A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?i need help with this question 12 from my microeconmics assigments. i have already gotten it wrong twice.
- 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).Solve for x for the following equation: 4ln(3x-8) = 60Technology 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.)
- Numbers 5 adn 6 need to be answered. The function (8.6) needed in 5b has been included in a separate picture. Please show all work. Thank you.How is MC calculated? 300 for the first MC is incorrect.Ben's swim coach estimates that his time, t, in the 100-yard butterfly at a big upcoming meet as a function of the number of yards he swims per week, y, is t = 50+8e-0.00005y Based on this production function, his coach also estimates that if Ben swims 20,000 yards per week, his time will be 52.94 seconds, and he will finish tenth place. If he swims 40,000 yards per week, his time will be 51.08 seconds, and he will come in third. If he swims 60,000 yards per week, his time will be 50.40 seconds, and he will win the meet. Use calculus to determine Ben's marginal productivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MP) is (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ MPy character.)
- Computing levels: Suppose xt grows at 2% per year and yt grows at 5% peryear, with x0 = 2 and y0 = 1. Calculate the numerical values of zt for t = 0,t = 1, t = 2, t = 10, t = 17, and t = 35 for the following cases:(a) z = x(b) z = y(c) z = x3/4y 1/4(i) Find the rate of change of the function f(x) =x + 2/ 1 − 8x with respect to x when x = 1.(ii) The number of units Q of a particular commodity that will be produced with Kthousand dollars of capital expenditure is modeled by Q(K) = 500 K2/3Suppose that capital expenditure varies with time in such a way that t months from nowthere will be K(t) thousand dollars of capital expenditure, whereK(t) =2t4 + 3t + 149 / t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be producedat this time?(b) At what rate will production be changing with respect to time 5 months from now?Will production be increasing or decreasing at this time?Cost of buying tomato plants are 20 cents each and a farmer sells them for 50 cents each. His fixed costs are euro 60 including the rate he pays to the local council. How many tomato plants must he sell to break even? What kind of profit will he realize from selling 180 plants? Formulate P(x) function clearly and graph it. Values of its intersections with both axes must be clear.