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

250

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.