Firm's production is represented by z=10x1/2y1/2. z=amount of output. x=amount of labor used. y=amount of capital used. Labor cost= 20 dollars per unit, Capital cost= 80 dollars per unit. Part a) 100 units are currently being made as the output. Labor's cost minimizing quantity=20. Capital's cost minimizing quantity=5. Draw a graph of this with both isocosts and isoquants. Part b) The business wants to make the output increase from 100 units to 140 units. In the short run, capital is fixed. What is the amount of labor needed? Show this in your graph in part a. Calculate the new total cost. Part c) In the graph from part a, draw and label a point that shows capital's and labor's cost minimizing level in the long run if the business wants to make 140 units.

Q: Y. Section 2.5 In the following Exercise, use the given conditions to write an equation for each…

A: Given: Line is passing through -2,2 and parallel to the line whose equation is 2x-3y=7. To find:…

Q: 800 marketing group determines that the demand equation for a barstool can be modeled by p =- 0.4 9…

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  where p is…

Q: Assume that it costs Sony approximately C(x)=800,000+340x+0.0005x dollars to manufacture x…

A:

Q: identify the vertex axis of symmetry and min/max value and domain and range y=1/3(x+2)^2-1

A: The given function is in the form of a quadratic function, y = a(x - h)^2 + k, where (h, k) is the…

Q: x X A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular…

A: It is given that the total length of the fencing is .Let  be the total length of the fencing.Then,…

Q: A company making Espresso machines has a demand price that can be modeled by p=500-0.5q^2 and the…

A: Given that: demand price is modeled by p=500-0.5q^2 the total cost is modeled by C=50q+40 To Find:…

Q: Suppose a company sells a certain product of x quantity and the price in dollars that modeled by the…

A:

Q: The total cost (in dollars) of producing a motorcycle frames is C(x) = 13000 + 300x. (A) Find the…

A: The total cost of producing  motorcycle frames is

Q: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

A: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

Q: The table below gives the percent of men 65 years or older in the workforce for selected years from…

A: The table below gives the percent of men  years or older in the workforce for selected years from…

Q: A simple curve that often makes a good model for the variable cost of a company, as a function of…

A:

Q: Find the number of units that must be produced to maximize the revenue function R = –æ³ + 150z² +…

A: We have to find the number of units and maximum revenue.

Q: Question A rectangle is to be inscribed in the circle of equation: x^2 +y^2= 25 so that the area of…

A:

Q: Find the speed v, in miles per hour, that will minimize costs on a 115-mile delivery trip. The cost…

A: Let t be the time that driver drives. Let d denotes the distance of the trip. As, it is known that…

Q: A company uses the function C(x) = 0.02x^2 -3.4x+150 to model the unit cost in dollars for producing…

A: Simply take the derivative of the given model function and equate to zero for the minimum cost.