Other Engineering Answers

The displacement mass is given by the function

Solve for n in the following equations

a. m=w/n

An educational researcher is interested in the relationship between students’ participation in two after school programs and academic achievement. She states the following hypothesis in the description of her study:
H.1. Children who participate in an after school program that emphasizes critical thinking skills will score higher on measures of academic achievement and self esteem than students who participate in a program that emphasizes rote memorization.
What are the variables in this study? What would be good names for the variables? Identify the independent variable(s) and dependent variable(s). Describe how each variable varies (i.e., whether the variable is categorical or continuous). Provide justification for why each variable varies the way you describe?

Consider a market served by 2 firms. Demand for their product is estimated to be P=100-Q, with Q=q1 + q2. Assume that production costs are symmetric and given by C=10q.

(i) Assume that firm 1 was given the opportunity to commit its output level before firm 2 chooses its quantity. Show that firm 1 has indeed incentive to become a market leader by setting its quantity first.

(ii) Is there an incentive for the two firms to merge? Explain your answer clearly.

What will be the elasticity of substitution of production function q=√L+K ?

Given α is non-income tax, β is income tax, δ is marginal propensity to consume, γ is autonomous consumption, T (tax), Y (national income), I0 (investment) and G0 (government expenditure).

Given α is non-income tax, β is income tax, δ is marginal propensity to consume, γ is autonomous consumption, T (tax), Y (national income), I0 (investment) and G0 (government expenditure).

a) Formulate the equations needed to find the reduced form of equilibrium income (Ye). (10)
b) Do a comparative static to find the effect of income tax, non-income tax and government spending on equilibrium income. (15)
c) Use Cramer’s rule, to find the equilibrium level of income, tax and consumption, for the systems of equations in a). (15)

Given α is non-income tax, β is income tax, δ is marginal propensity to consume, γ is autonomous consumption, T (tax), Y (national income), I0 (investment) and G0 (government expenditure).

a) Formulate the equations needed to find the reduced form of equilibrium income (Ye).

A firm’s output is K(100 − K). The price of the product is 1 per
unit. The capital provider charge a rent of r per unit of capital, K, where
r is between 0 and 100. The firm either accepts or rejects the offer. If the firm
accepts the offer, it chooses the amount K of capital (which you should take to
be a continuous variable, not an integer); if it rejects the offer, no production
takes place (K = 0). The firm’s preferences are represented by its profit; the
capital provider’s preferences are represented by the value of rK.
(i) Formulate situation as a sequential game. (what are the players? which
one is first mover? what are the strategies and payoff functions?)
(ii) Find subgame perfect equilibrium of the game.
(iii) Is there a (K, r) which will generate a higher total pay-off (sum of firm and
capital provider’s pay-offs) than the total pay-off at the SPE.
(iv) Find Nash equilibrium for which the outcome differs from any subgame perfect equilibrium outcome.

Reduce the following complex fraction to simple fraction

1. m/m+3 + m/m²-1
__________________
1/m-3 +1