A manufacturer of shower surrounds has a revenue function of R(x)=81.50x and a cost function of C(x)=63x+1850, where x is the number of shower surrounds. Find the number of units (shower surrounds) that must be sold to break even.

To break even 100 shower surrounds must be sold

Step-by-step explanation:

To break even R(x) = C(x) that is no profit or loss

R(x) = C(x)

81.50x = 63x + 1850

81.50x -63x = 1850

18.5x = 1850

x = 1850/18.5

x = 100

To break even 100 shower surrounds must be sold

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720