A fast food outlet finds that the demand equation for its new side dish, "Sweetdough Tidbit," is given by, 128 p= (q+1)² 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 q=0.5p-1 servings per hour at a price of p cents. A) Find the price, p, and equilibrium quantity, . SHOW WORK.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Activity #1: Consumers' and producers' surplus; equilibrium, total social gain at
equilibrium price
A fast food outlet finds that the demand equation for its new side dish,
"Sweetdough Tidbit," is given by,
128
p=
(q+1)²
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 q=0.5p-1
servings per hour at a price of p cents.
A) Find the price, p, and equilibrium quantity, 7. SHOW WORK.
Transcribed Image Text:Activity #1: Consumers' and producers' surplus; equilibrium, total social gain at equilibrium price A fast food outlet finds that the demand equation for its new side dish, "Sweetdough Tidbit," is given by, 128 p= (q+1)² 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 q=0.5p-1 servings per hour at a price of p cents. A) Find the price, p, and equilibrium quantity, 7. 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 final 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 final value in dollars.
D) What is the total social gain at the equilibrium price? Show work. Express
answer in dollars.
Transcribed Image Text: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 final 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 final value in dollars. D) What is the total social gain at the equilibrium price? Show work. Express answer in dollars.
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