We know that, C = Y - I .. (1) At Eqm S = I, i.e - 20 + 0.2Y = 100 ... (2) From (2), Y* =120/0.2 = 600 (Eqm. Y) Therefore, C = Y* - I = 600 - 100 = 500 Please verify!

Since it's a continuous probability distribution, we have integrate between the given limits to find the required probability. To find the mean value we will have to integrate the product of the variable with the pdf between the limits.

Since xy=1, the equation of the curve can be rewritten as y=1/x. Now let's integrate it from x=1 to x=e.

Given, y = 2w+4u var(w) = 5 cov(w,u) = 1 ----------------------------------------------------------- To find, cov(y,w) = E(yw) - E(y)E(w) i.e, cov(y,w) = 2E(w^2) + 4E(uw) - [E(2w+4u)E(w)] = 2E(w^2) + 4E(uw) - [2E(w)^2+4E(u)E(w)] = 2E(w^2) + 4E(uw) - 2E(w)^2-4E(u)E(w) = 2[E(w^2 - E(w)^2)] + 4[E(uw) - E(u)E(w)] = 2var(w) + 4cov(w,u) = (2 × 5) + (4 × 1) = 10 + 4 = 14

Correct answer is Option (D) Given, Earning from law firm = $223,000 per year Revenue from her business = $347,000 per year. Explicit loss from her business = $163,000 per year Economic Profit Economic Profit = Revenue from her business - Explicit loss from her business = $347,000-$163,000=$184,000.

Given, Market price (what Andre earns)=$50 per week. Julia's willingness to pay is $60 per week. Andre's opportunity cost is $30 per week Tax placed govt. equals $35 per week. Pre-tax Total Surplus = Producer surplus + Consumer surplus = (50−30) +(60−50) = 20 + 10 = $30 Post-Tax Once govt. places a tax of $35 the whole amount of total surplus is taken away (since $35>$30). Thus total surplus is $0.

Given, Fred is awake for 112 hours a week. Fred sleeps for 56 hours per week. Fred earns $75 for each hour of writing. ----------------------------------------------------------- Now, Fred decides to spend 80 hours a week playing volleyball. Which implies that Fred's work time has reduced from 112 to 32 (since he can only work, when he is awake). ∴Total Income available = 32×75 = 2400