Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. assume that revenue, r(x), and cost, c(x), of producing x units are in dollars. r(x)=60x-0.1x^2 c(x)=6x+15

The profit is given by the subtraction of revenue and cost. So, the function for the profit is

We want to maximize this function, so let's derive its expression and set it to zero:

For this number of units, the profit equals

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

4th option is correct xy=-10

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