QUESTION ONE $(1)$ a$.$ Distinguish between simple interest and compound interest. b$.$ State any three $(3)$ forms of matrices. c$.$ The Market Research Department of a company recommended to management that the company should manufacture and market a promising product on the market. After extensive surveys, the research department backed up the recommendation with the demand equation: x$=$f$($p$)=6,000-30$ p where x is the number of units that retailers are likely to buy per month at GHO$/$ per unit. From the Finance Department, the following cost equation was obtained: C$=$g$($x$)=72,000+60$ x Assuming revenue equation is R$=$xp $($i$)$ Find the profit equation in terms of p only. $(5$ marks$)($ii$)$ Calculate the price $($s$)$ and the quantity demanded at which the company would break even. $(4$ marks$)$ d$.$ The University of Education, Winneba rents apartment to staff for GHC$550$ per year. The University have $25$ apartments of such nature. During the year $2023,$ the University was able to rent out $18$ of the apartments. Of the gross rent received, $10\%$ was paid out as rent and property tax, GH $220$ was spent on each apartment to do regular repair and maintenance and $45\%$ of the amount left was paid as salaries. Required to calculate the: i$.$ total expenses incurred by the company for the $2023.$ ii$.$ profit the company assuming profit is the rent left after deducting all expenses. $(1$ mark$)$ iii. percentage of the profit on gross rent.