A chain of paint store carries two brands of latex paint. Sales figures indicate

Question

A chain of paint store carries two brands of latex paint. Sales figures indicate that if the first brand it sold for x dollars per gallon and the second for y dollars per gallon, the demand for the first brand will be D1(x,y)=40020x+80y gallons per month and the demand for the second brand will be D2(x,y)=300+70x10y gallons per month. (a) Express the chain of paint store's monthly revenue from the sale of paint as a function of x and y. R(x,y)= _____ (b) Compute the revenue from part (a) if the first brand it sold for $11 per gallon and the second for $14 per gallon.

Explanation / Answer

demand for the first brand will be D1(x,y)=40020x+80y gallons per month and the demand for the second brand will be D2(x,y)=300+70x10y gallons per month

a) revenue R(x,y)=xD1+ yD2

revenue R(x,y)=x(40020x+80y) + y(300+70x10y)

revenue R(x,y)=(400x20x2+80xy) + (300y+70xy10y2)

revenue R(x,y)=400x20x2+150xy + 300y10y2

b) first brand it sold for $11 per gallon and the second for $14 per gallon.

x =11,y=14

revenue R=(400*11)(20*112)+(150*11*14) + (300*14)(10*142)

revenue R=27320 dollars

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.