6. The price for sugar cane is D(q) = 900 – 20q – q? (in dollars per ton) when the demand for the product is q tons. Also, suppose the function S(q) = q? + 10q describes the price when the supply is q tons. Find the consumers' surplus and the producers' surplus. In addition, graph results on Desmos and label the areas for consumers'surplus and producers' surplus. Equilibrium Point Consumers' surplus = | [D(q) – Polda Producers' surplus = | [Po-S(q)]dq where (qo, Po )is the equilibrium point Consumers' surplus Producers' surplus

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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6. The price for sugar cane is D(q) = 900 – 20q - q? (in dollars per ton)
when the demand for the product is q tons. Also, suppose the function
S(q) = q? + 10q describes the price when the supply is q tons. Find the
consumers' surplus and the producers' surplus. In addition, graph results on
Desmos and label the areas for consumers'surplus and producers' surplus.
%3D
Equilibrium Point
Consumers' surplus = [D(q) - Polda
Producers' surplus = [Po - S(q)]dq
where (go, po )is the equilibrium point
Consumers' surplus
Producers' surplus
Transcribed Image Text:6. The price for sugar cane is D(q) = 900 – 20q - q? (in dollars per ton) when the demand for the product is q tons. Also, suppose the function S(q) = q? + 10q describes the price when the supply is q tons. Find the consumers' surplus and the producers' surplus. In addition, graph results on Desmos and label the areas for consumers'surplus and producers' surplus. %3D Equilibrium Point Consumers' surplus = [D(q) - Polda Producers' surplus = [Po - S(q)]dq where (go, po )is the equilibrium point Consumers' surplus Producers' surplus
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