Heather Smith Cosmetics $($HSC$)$ manufactures a variety of products and is organized into three divisions $($investment centers$)$: soap products, skin lotions, and hair products. Information about the most recent year$$s operations follows. The information includes the value of intangible assets, including research and development, patents, and other innovations that are not included on HSC$$s balance sheet. Were these intangibles to be included in the financial statements $($as they are for EVA$),$ the increase in the balance sheet and the increase in after$-$tax operating income would be as given below: Heather Smith Cosmetics $($HSC$)$ manufactures a variety of products and is organized into three divisions $($investment centers$)$: soap

products, skin lotions, and hair products. Information about the most recent year's operations follows. The information includes the

value of intangible assets, including research and development, patents, and other innovations that are not included on HSC$\text{'}$s balance

sheet. Were these intangibles to be included in the financial statements $($as they are for EVA ${?}^{}),$ the increase in the balance sheet and

the increase in after$-$tax operating income would be as given below:

Required:

Calculate the return on investment $($ROI$)$ for each division. $($Round your answers to $2$ decimal places. $($i$.$e$.1234=12\mathrm{.}34\%))$

Calculate the residual income $($RI$)$ for each division.

Calculate EVA ${?}^{}$ for each division.

Division Operating Income Average Total Assets Value of Intangibles Intangibles$$ Effect on Income

Soap products $ $3,250,000$ $ $60,000,000$ $ $1,500,000$ $ $1,000,000$

Skin lotions $2,750,00033,000,0008,000,0006,000,000$

Hair products $5,000,00055,000,0001,000,000700,000$

Minimum desired rate of return $5\mathrm{.}00\%$

Cost of capital $4\mathrm{.}00\%$

Required:

$1.$ Calculate the return on investment $($ROI$)$ for each division. $($Round your answers to $2$ decimal places. $($i$.$e$.\mathrm{.}1234=12\mathrm{.}34\%))$

$2.$ Calculate the residual income $($RI$)$ for each division.

$3.$ Calculate EVA$$ for each division.