32. Producers' Surplus Suppose the supply function for concrete is given by \[ S(q)=100+3 q^{3 / 2}+q^{5 / 2} \text {, } \] and that supply and demand are in equilibrium at \( q=9 \). Find the producers' surplus. 33. Consumers' Surplus Find the consumers' surplus if the demand function for grass seed is given by \[ D(q)=\frac{200}{(3 q+1)^{2}}, \] assuming supply and demand are in equilibrium at \( q=3 \). 34. Consumers' Surplus Find the consumers' surplus if the demand function for extra virgin olive oil is given by \[ D(q)=\frac{32,000}{(2 q+8)^{3}} \text {, } \] and if supply and demand are in equilibrium at \( q=6 \).

Find the final hourly wage if a \( \$ 9.00 \) starting wage is increased by \( 4.5 \% \) each year for 8 years.

"In addition, she said banks operating in Africa need to have a more end-to-end approach to risk management, considering bankability at all stages." As a follow up to Question 1 above and in addition to the solutions recommended in the article, recommend how Southern African financial institutions can improve their risk management strategy.

(b) A dealer purchased some goods marked at ₹ 2,000 at a discount of \( 20 \% \) and \( 5 \% \). He sells the same at a discount of \( 15 \% \) and \( 5 \% \). Find the amount of gain or loss to him.

Phil is shopping for an annuity that guarantees he CANNOT outlive the benefits. Which of these benefit options would he choose?Accelerated lifetime benefitGuaranteed lifetime withdrawal benefitRight of income riderGuaranteed minimum accumulation benefit

"In addition, she said banks operating in Africa need to have a more end-to-end approach to risk management, considering bankability at all stages." As a followe up to Question 1 above and in addition to the solutions recommended in the anticle, recornmend how Southern African financial institutions can improve their risk management strategy.