The different input combinations of X1 and X2 that produce the same amount of product Y are given below: Combination Inputs X1 X2 A 825 1,350 B 900 1,130 C 975 935 D 1,050 770 E 1,125 620 F 1,200 525 a. Compute for the MRTS. b. Assuming that X1 and X2 are worth Php13.00 per unit and Php5.00 per unit, respectively, find for the least-cost input combination. Use the marginal approach. If the price of X2 becomes half that of X1, what is the new least-cost combination? Use the marginal approach. C.
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- = 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?Trenny has asked her assistant to prepare estimates of cost of two different sizes of power plants. The assistant reports that the cost of the 130 MW plant is $200,000,000, while the cost of the 240 MW plant is $320,000,000. If Trenny has a budget of only $300,000,000, estimate how large a power plant she could afford using linear interpolation (Enter your answer rounded to one decimal place and in MW eg. XX.X)? Number CLA trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 9 cost of $62,308 and a variable cost per unit of XL7510 equal to 202 + - dollars, where is the total 10 number of XL7510s produced. Suppose further that the selling price of this product is 1118 The x-values of the break-even points are The maximum revenue is Form the profit function: P(x) = = The maximum profit is The price that will maximize profit is 1 - dollars per unit of XL7510. 10 dollars (round to the nearest cent) dollars (round to the nearest cent)
- Given that fixed cost -330 and varioble cost+120: the total varioble cost of producing 30 units of output is 690 360 O 330 40 470let'say.lf 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles produced, per day. If the cost function (C) is related to the following equation as given, determine the optimum number of motor cycles that need to be produced, daily, corresponding to minimum cost. Note that X denotes total number of motor cycles manufactured per day. Total Cost (C) in SAR= (1/3) X³- 200-X -50000 X Roswshow solution An oil refinery produces one base type of crude oil. The total cost is given by the equation Total Cost, TC = 50,000+20.2D +0.0001D2. The sales price in dollars per barrel is 35. At what level of production in barrels/week is cost/barrel minimum? What is the minimum cost per barrel? What is the maximum weekly profit that the company can make? At what level of production is the maximum weekly profit attainable? and Over what range of production is profit possible? Express answers in whole numbers and write the numerical values only.
- Q4 The output of a production process, Q, is given by the function KL Q = K+ 2L where K and L denote capital and labor. (a) Calculate the output when the capital and labor are 40 and 30 units, respectively. (b) Find the level of labor needed to produce 4 units of output when 10 units of capital are used. (c) Transpose this formula to express K in terms of Q and L. Q5 3 The equations defining a simple model of the economy are: C = 0.75Y + 18 I = 22 where C, Y and I denote consumption, national income and planned investment, respectively. Use this model to complete the following table of values and hence draw an accurate graph of C + I plotted against Y on the interval 0 < Y< 200. 100 200 C + I By drawing a second line on the diagram, calculate the equilibrium level of national income. Use your graph to explain what happens to the equilibrium level of national income when the marginal propensity to consume decreases with autonomous consumption fixed.Requlred Information A labor crew for placing concrete consists of one labor foreman at $2769 per hour, one cement finisher at $29.30 per hour, 6 laborers at $24.45 per hour each, and one equipment operator at $341 per hour. Such a crew, called a C20 crew, can place 154 cubic yards of concrete per 8-hour day Determine the cost of C20 crew per cubic yard of concrete The cost of C20 crew per cubic yard of concrete is determined to be $Consider the following production and cost functionsq=〖(10K^(2/5)+5L^(2/5))〗^(5/2)1250=20K+8LWhich implies〖MP〗_K=10〖(10K^(2/5)+5L^(2/5))〗^(3/2) K^(-3/5)〖MP〗_L=5〖(10K^(2/5)+5L^(2/5))〗^(3/2) L^(-3/5)What is the profit maximizing combination of K and L?
- SOLVE STEP BY STEP IN DIGITAL FORMAT The company Cielito S.A. It manufactures clothing for older adults and has a large presence in Mexico, due to the comfort and good taste of its garments. It has 60 seamstresses who work 8 hours a day; Indirect manufacturing expenses are $9,500.00 MXN. Every day Cielito S.A. produces 1,500 garments. The cost per hour of labor is $55.00 MXN. With this data, you must calculate: a. Labor or labor productivity. b. The productivity of manufacturing indirect expenses. c. The total productivity of Cielito S.A.The costs of producing a commodity consist of ₱102.00 per unit for labor and material cost and ₱54.00 per unit for other variable cost. The fixed cost per month amounts to ₱850,000. The commodity is sold at ₱740.00 each,a. what is the break-even quantity per month?(Hint: for Break-even quantity, COST = REVENUE)b. how many units must be produced each month in order that the net profit equalsthe cost?c. what is the net profit if for a production of 4000 units per month, in pesos?(HInt: PROFIT = REVENUE - COST)Question 9 Trenny has asked her assistant to prepare estimates of cost of two different sizes of power plants. The assistant reports that the cost of the 150 MW plant is $220,000,000, while the cost of the 270 MW plant is $400,000,000. If Trenny has a budget of only $300,000,000, estimate how large a power plant she could afford using linear interpolation (Enter your answer rounded to one decimal place and in MW eg. XX.X)?