Please see the attached image(s)/screenshot(s) for the question and all its sub-questions that also need to be answered. All pertinent background information that was provided to me is also included in the attached. Moreover, the general topic being covered is "Monopoly" and how monopolists choose the output that maximizes profit.

It is often argued that Monopolists, or rms with market power, should maximize the total surplus created and then develop pricing strategies to capture this surplus. Surplus is created when the amount consumers are willing to pay for a product (the height of the demand curve) exceeds the marginal cost of producing a product. Consider the case where a monopolist's inverse demand function equals P = 30 2Q, and the rm's total costs are given by C(Q) = (1/2)Q2, which results in a marginal cost equal to Q. The following illustration depicts the output that maximizes total surplus. This output is economically efcient. Total Surplus is maximized when the rm produces 10 units. Total surplus equals $150 when output equals 10. The total amount consumers are willing to pay (WTP) for 10 units of the good equals the area under the demand curve. WTP (10) = 10 X10 + (1/2) (30 10) x 10 = 100 +100 = $200 The total variable cost of producing 10 units equals the area underneath the marginal-cost curve, which equals (1/2) x 10 x 10 = $50 The different between WTP and variable cost equals total surplus. WTP TVC = $200 $50 = $1 50. The single-price monopolist maximizes prot by producing 6 units and setting price equals to $18. The monopolist's prot equals $90. The single-price monopolist only captures 60 percent of the total surplus available in this market. a. Why does the single price monopolist produce 6 units of output When the output that maximizes surplus equals 10? Include a discussion of the price and quantity effects as part of your explanation. b. The monopolist captures $90 of the $150 in surplus available. What happened to the $60 in surplus that the monopolist failed to capture