Greetings tutor, I need your assistance with activity 1. Thank you!

Activity #1: Consumers' and producers' surplus; equilibrium, total social gain at equilibrium price A fast food outlet nds that the demand equation for its new side dish, \"Sweetdcugh Tidbit,\" is given by, _ 123 ' (q+1)2 P where p is the price in cents per serving and q is the number of servings per hour at this price. At the same time, the franchise is prepared to sell .3 = 0.5 pl servings per hour at a price of p cents. A) Find the price, p, and equilibrium quantity, g . SHOW WORK. B) Compute the consumers' surplus at the equilibrium price. Include an integral whose value will give the surplus and then use your graphing calculator to evaluate the integral. Give nal value in dollars. C) Compute the producers' surplus at the equilibrium price. Include an integral whose value will give the surplus and then use your graphing calculator to evaluate the integral. Give nal value in dollars. D) What is the total social gain at the equilibrium price? Show work. Express answer in dollars. E) On the graph below identify two regions: one for the consumers' surplus and one for the producers' surplus. Shade each region differently so they can be identied. Label the region associated with each region as \"Consumers' Surplus\" and \"Producers' Surplus\". P 120 100 80 8 '5 0.0 0.5 1.0 1.5 2.0 2.5 3.0