For each of the following functions find the total differential, and use this todraw a representative level curve.(a) y=x1+x2forx1,x220(b) y=x1]/2x21/3forxl,x2>0
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For each of the following functions find the total differential, and use this to
draw a representative level curve.
(a) y=x1+x2forx1,x220
(b) y=x1]/2x21/3forxl,x2>0
Step by step
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- suppose the Total Revenue function for a product is given by R(x)=V0•1x+0-2x² (R-4,x--u) a) Find the Rate of change in Tota) Revenue or Morginal Revenue . a) b) Find Margina) Revenue nhen x=4 units are sold and slate nhatitpredicts for the sale of the next unit c) Firid the Actual change in To tol Revenue uhen productm Level is ingeased from 4 to 5 units di Esplainany discreponcy hetncen parls (1) and (c)resuHs mathemohie ally / Graphically d)Consider the input output table below Table (Inter) final Total (Agric) (Manuf) (Mining)demand (Inter) Agric 106 47 180 898 1231 Manuf 75 32 80 1167 1354 Mining 31 115 100 977 1223 PrimaryLabour 949 760 363 Capital 70 400 500 where: (Agric = Agriculture),( Manuf = Manufacturing),(Inter = !3! %3D Intermediate) A. Calculate the input coefficients and fill in the appropriate spaces in the table below. Use four (4) decimal places. Agric (Manuf) (Mining) Agric Manuf Mining Labour CapitalK- Suppose the revenue from producing (and selling) x units of a product is given by R(x)=7x-.01x² dollars. (a) Find the marginal revenue at a production level of 35. (b) Find the production levels where the revenue is $600. (a) The marginal revenue at a production level of 35 is dollars per unit. (b) The production levels where the revenue is $600 are (Use a comma to separate answers as needed.)
- If you were a taxi driver, the daily revenue and cost are as the following: Revenue: $250 Variable cost (gas, your labor…): $190 Mortgage payment for car: $70 License Fee: $30 For profit maximization, will you operate your taxi business today? What is the minimum daily revenue to keep the operation in the short run? What is the minimum daily revenue to keep the operation in the long run? Please show calculation formula and/or equation.920 it bait of 289301 Sindspis ON SEU pilkupeni A30S AO +32 monulo2 An economist for a sporting goods company estimates the revenue and Cost functions for the production of a new snowboard. These Functions are R(x) = -x ² +10x and ((x) = 4x+5, respectively, where x is the number of Snowboard's produced in thousands. The average profit is defined by the function AP(x) = P(x), where pox) is the profit function & Determine the production levels that make AP(x) > 0 P-xdComplete the table below: Output TotalCost(RM) Totalvariablecost(RM) Totalfixedcost(RM)Averagefixedcost(RM)Averagetotalcost(RM)Marginalcost (RM) 0 505 16010 20020 25036 33058 40072 48088 580106 700130 820150 980
- Calculate the total revenue if the firm produces 4 versus 3 units. Then, calculate the marginal revenue of the fourth unit produced. The marginal revenue of the fourth unit produced is________. Calculate the total revenue if the firm produces 8 versus 7 units. Then, calculate the marginal revenue of the eighth unit produced. The marginal revenue of the eighth unit produced is________.E Let the demand function for a product be given by the function D(q) = -1.65g + 270, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $3 per item produced. If 96 items are produced and sold, find the following: A) The total revenue from selling 96 items (to the nearest penny). Answer: $ B) The total costs to produce 96 items (to the nearest penny). Answer: $ C) The total profits to produce 96 items (to the nearest penny. Profits may or may not be negative.). Answer: $ Question Help: C ME PE Video 66°F Mostly cloudyAssume the cost of making 30 belts $800 the cost of makin 35 belts $900 and the cost equation is linear. The belts are sold for$ 27 each. a)find the marginal cost b)find a linear equation in slope-intercept, form that represent the total Cost of making will c) What is the fixed cost? d) find a profit in slope- intercept that will represent the profit if x belt are made and sold? e) Find the break even point?
- Emco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule: Crew Size Total Output (No. of Workers) (No. of Units) 0 0 1 10 2 35 3 50 4 56 5 59 6 60 7 60 8 58 Determine the following schedules: (a) Marginal productivity of labor (b) Average productivity of labor (c) (d) Elasticity of production with respect to labor Draw and Show relationship MPL & APLTo produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.2AAWO AC I4 17.1 REVENUE, COST, AND PROFIT APPLICATIONSITSO RSYHAHD 797 20 A firm sells each unit of a product for $50. The total cost of producing x (thousand) units is described by the function C(x) = 10 – 2.5x² + x³ where C(x) is measured in thousands of dollars. (a) Use the marginal approach to determine the profit-maximizing level of output. (6) What is total revenue at this level of output? Total cost? Total profit? 1 The profit function for a firm is -000
