DIRECTIONS: Using the "Data Set" file chapter three solver example in Blackboard, answer the following questions:

A manager bank has $$100,000$ to invest in bonds, mortgages, car loans, and personal loans. Bonds are expected to produce a return of $12\%,$ mortgages $11\%,$ car loans $13\%,$ and personal loans $14\%.$ To make sure the portfolio is not too risky, the bank wants to restrict personal loans to no more than the $30\%$ of the total portfolio. The bank also wants to ensure that more money is invested in mortgages than personal loans. The bank also wants to invest more in bonds than car loans.

a$.$ How much of the $$100,000$ should the manager invest in each product? $($Round answers to the nearest whole number$)$

BondsMortgageCarPersonal$$

b$.$ What is the optimal solution?$$ $ $($DO NOT USE$$commas $","$OR$$dollar signs $"$$$"$ in the answers... Exampe$55434\mathrm{.}00-$ no commas and no dollar signs and remember to round up$)$

Question $1$

DIRECTIONS: Using the "Data Set" file chapter three solver example in Blackboard, answer the following questions:

A manager bank has $\backslash (\backslash$$ $100,000\backslash )$ to invest in bonds, mortgages, car loans, and personal loans. Bonds are expected to produce a return of $12\backslash \%,$ mortgages $\backslash (\backslash$mathbf$\{11\backslash \%\}\backslash ),$ car loans $\backslash (13\backslash \%\backslash ),$ and personal loans $\backslash (14\backslash \%\backslash ).$ To make sure the portfolio is not too risky, the bank wants to restrict personal loans to no more than the $\backslash (30\backslash \%\backslash )$ of the total portfolio. The bank also wants to ensure that more money is invested in mortgages than personal loans. The bank also wants to invest more in bonds than car loans.

a$.$ How much of the $\backslash (\backslash$$ $100,000\backslash )$ should the manager invest in each product? $($Round answers to the nearest whole number$)$

Bonds

Mortgage

Car

Personal

$($DO NOT USE commas $","$ OR dollar signs $"\backslash$$$"$ in the answers... Exampe $55434\mathrm{.}00-$ no commas and no

b$.$ What is the optimal solution? $\backslash$$ dollar signs and remember to round up$)$ DIRECTIONS: Using the "Data Set" file chapter three solver example in Blackboard, answer the following questions:

A manager bank has $\backslash (\backslash$$ $100,000\backslash )$ to invest in bonds, mortgages, car loans, and personal loans. Bonds are expected to produce a return of $12\backslash \%,$ mortgages $\backslash (\backslash$mathbf$\{11\backslash \%\}\backslash ),$ car loans $\backslash (13\backslash \%\backslash ),$ and personal loans $\backslash (14\backslash \%\backslash ).$ To make sure the portfolio is not too risky, the bank wants to restrict personal loans to no more than the $\backslash (30\backslash \%\backslash )$ of the total portfolio. The bank also wants to ensure that more money is invested in mortgages than personal loans. The bank also wants to invest more in bonds than car loans.

a$.$ How much of the $\backslash (\backslash$$ $100,000\backslash )$ should the manager invest in each product? $($Round answers to the nearest whole number$)$

Bonds

Mortgage

Car

Personal

b$.$ What is the optimal solution? $\backslash$$ $|($DO NOT USE commas $","$ OR dollar signs $"\backslash$$$"$ in the answers... Exampe $55434\mathrm{.}00-$no commas and no dollar signs and remember to round up$)$