A juice bar sells 520 1-L jugs of fruit juice per day at a price of $4.20. The previous year sales have revealed that for every $0.10 increase in price, the store will sell 5 fewer 1-L jugs. What is the selling price that would give the maximum profit? Do not put the dollar sign in your answer.

the solution is 12x-6y

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer

you start with $5 and save $10 a week until you have at least $45wer

step-by-step explanation: