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A firm produces output using two factors of production according to technology f(x1, x2) = X1^1/2*X2^1/4. The price of output is 4. Factors 1 and 2 costs to the firm w1 and w2 per unit, respectively.

(i) Write an expression for the firm's profit.

(ii) Write an equation having on the left-hand side the marginal product of input 1 times the price of output and on the right-hand side its wage (w1). Do the same for input 2.

(iii) Solve the two equations you found in (ii) in the two unknowns, x1 and x2. (This will give the amounts of factors 1 and 2 that maximize the firm's profits.)

(iv) If w1 = 2 and w2 = 1, how many units of factors 1 and 2 will the firm demand? How much output will it produce? How much profit will it make?

A firm’s production function is given by f(x1,x2) = (1/2) x1^1/5 x2^4/5. Assume that the markets for the input factors are competitive. The market prices for input factor 1 and input factor 2 are given by p1 = 1 and p2 = 8 respectively. Find the optimum amount of x1 and x2.

what is the electric field strength at a point in space where an electron experiences an initial acceleration of ?

What is the difference between the melting and boiling points for covalent compounds in comparison to ionic compounds

What is the difference between steam and boiling water?

How can write python simple program

Please show all steps, thank you.

Write the following for gelatin-based biomaterial concept:

1. Abstract (Project summary) (1 paragraph, no more than 30 lines)

2. Specific Aims of the project (Includes 3 Specific Aims) (1 page)

3. Clinical impact (0.5 page)

4. Research Strategy includes the following:

a. Background (1 page)

b. Significance (0.5 page)

c. Innovation (0.5 page)

B.The ascending aorta is approximately 2.6 cm in diameter. The aortic arch is approximately 5 cm above the heart. What is the pressure in the aorta at the beginning of the aortic arch during discharge? (You can assume the blood is experiencing hichehnningles) Clearly state any assumptions.

C. One of the semilunar valves separates the left ventricle from the aorta. If the pressure in the left ventricle is 91.3 mmH (12,173 Pascal) during the start of aortic discharge, what is the friction coefficient (Knitting) for the semilunar valve? Clearly state any assumptions.

Let (S) be the paraboloid z=10-(x-1)^2-(y-2)^2 and let M be the highest point (relative to the plane Oxy) on (S ). Let (P) be the tangent plane to (S) at M. Which point from the following is on the plane (P) ? 

Form CMS-1500 is the standard paper claim form used to bill an insurance company for rendered services and supplies. It provides detailed information about the patient, his/her insurance policy(s), and his/her diagnosis and treatment. This assignment will require you to analyze the content, the format, and the history of the form.

Instructions

You will write a 4–6 page research paper that provides a contrast between the CMS-1500 (08/05) and the CMS-1500 (02/12).

For this assignment, include the following:

• The history of the CMS-1500 form.

• A description of the changes to the format.

• An analysis of why the changes were made.

 Reference would be amazing also

Find the volume of the solid whose base is the given region and which has property that each cross section perpendicular to the x-axis is an equilateral triangle. The triangular region with vertices A(1,1); B(3,5); C(3,-2).