# SOLUTION: The total weekly revenue earned at Royal Ruby Retailers is given by following function where p is the price RRR charges per ruby. Use this function to determine: First, the wee

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 Question 215077This question is from textbook finite mathematics : The total weekly revenue earned at Royal Ruby Retailers is given by following function where p is the price RRR charges per ruby. Use this function to determine: First, the weekly revenue to the nearest dollar, when the price is set at \$20/ruby; Second, find the weekly revenue, to the nearest dollar, when the price is set at \$200/ruby; Third, find the price RRR should charge in order to obtain a weekly revenue of \$1200. (if you get negative answers do not assume that it is wrong!) R(p) = - 4/3 p^2 + 80p The weekly revenue when the price is set at \$20/ruby is \$. The weekly revenue when the price is set at \$200/ruby is \$. RRR should charge \$ per ruby to obtain a weekly revenue.This question is from textbook finite mathematics Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!R(p) = - 4/3 p^2 + 80p R(20)=-4/3*20^2+80*20 R(20)=-4/3*400+1600 R(20)=-1,600/3+1,600 R(20)=-533.33+1,600 R(20)=\$1,067 WEEKLY REVENUE WHEN RUBYS ARE \$20. ---------------------------------------------------- R(200)=-4/3*200^2+80*200 R(200)=-4/3*40,000+16,000 R(200)=-160,000/3+16,000 R(200)=-53,333+16,000 R(200)=-\$37,333 WEEKLY LOSS WHEN RUBYS ARE \$200. ------------------------------------------------- 1,200=-4/3P^2+80P 4P^2/3-80P+1200=0 4P^2-240P+3600=0 4(P^2-60P+900)=0 4(P-30)(P-30)=0 P-30=0 P=\$30 IS THE RUBY PRICE TO OBTAIN A WEEKLY REVENUE OF \$1,200.