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A Firm has the following production function 𝑸 = πŸπŸŽπ‘³ βˆ’ 𝟎. πŸ’π‘³ 𝟐.


a.Using differential calculus find the unit of labor that maximizes the production.


b. Estimate function of Marginal product of labor.


c. Obtain the Average product of labor.


d. Find the point at which the marginal product of labor is equal to the average cost.Β 



Calculate the standard enthalpy of formation per mole of ZnS(s).

ZnS(s) + O2(g) β†’ ZnO(s) + SO2(g) Ξ”H = βˆ’878.2 kJ


Ξ”Hfo(ZnO(s)) = βˆ’348.3 kJ/mol

Ξ”Hfo (SO2(g)) = βˆ’296.8 kJ/mol


There is no difference between the marginal rate of substitution and the marginal rate of transformation.

Do you agree with this statement? Elaborate on your answer.


Use appropriate examples to discuss three critical assumptions about the properties of consumers’

preferences.


Use well labeled diagrams to discuss the relationship between the price elasticity of demand and total

revenue.


Suppose that the price elasticity of demand for maple syrup has been estimated at -4. If quantity

demanded increased by 10 percent, price must have changed by


plot the supply and demand curve Qd= 3000-10P Qs=-10000 + 10P

plot the supply and demand curve Qd= 3000-10P Qs=-10000 + 10P

In a beauty contest, the ages of the contestants are normally distributed with a mean of


24 years and a standard deviation of 1.5. What percent of the contestants have age


between 22.5 and 27 years old?

You mix 20g of potassium nitrate with 100mL of water at 20oC. Describe the solution in terms of saturation.Β 


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