Excessive consumption of soft drinks is positively correlated to the incidence of diabetes. Assume that the private total cost of production is PTC(Q)= Q^2 + 2Q. The social cost of soft drinks production is STC(Q)=11.5Q^2. The total benefit of soft drinks production is TB (Q)=50Q-Q^2. What quantity of soft drinks would be produced in a perfectly competitive market? What tax t(s) should the government impose to achieve the socially optimum quantity of soft drinks traded?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Excessive consumption of soft drinks is positively correlated to the incidence of diabetes. Assume that the private total cost of production is PTC(Q)= Q^2 + 2Q.

The social cost of soft drinks production is STC(Q)=11.5Q^2. The total benefit of soft drinks production is TB (Q)=50Q-Q^2.

What quantity of soft drinks would be produced in a perfectly competitive market? What tax t(s) should the government impose to achieve the socially optimum quantity of soft drinks traded?

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