Erica may invest up to $$10,000($USD$)$ in the American stock market or the Euro$-$

pean stock market. To invest in the European market, she needs to convert the currency from

dollar to euro with the conversion rate of $1$ USD $=1\mathrm{.}1$ Euro. She can invest in stocks and loans

at each market. Each dollar invested in stocks in the American market yields $10$ percent profit,

and each dollar invested in a loan yields $15$ percent profit. Each euro invested in stocks in the

European market yields $15$ percent profit, and each euro invested in a loan yields $10$ percent

profit. At most $40\%$ of all money invested in each market can be in loans.

Formulate this problem as an algebraic linear programming model. This does not need to be

in standard LP form. Do not solve.

To assist you, below are your decision variables.

$$ as: The amount of investment in American stocks.

$$ al: The amount of investment in American loans.

$$ es: The amount of investment in European stocks.

$$ el: The amount of investment in European loans.

$$ z: The amount to convert from USD to Euro.