Lauren grows grapes, Her average variable cost $($AVC$),$ average total cost $($ATC$),$ and marginal cost $($MC$)$ of production are ilfustrated in the figuro to the right

Assume the market for grapes is perfectly competitive and that the market price is $$4\mathrm{.}00$ per crate.

Characterize Lauren's economic profits. Assume she produces such that she maximizes profits in the short run.

Using the rectangle drawing tool, shade in Lauren's economio profits. Attach the correct label to indicale whether she is earning a profit $($Profit$)$ or incurring a loss $($Loss$).$

Carefully follow the instructions above, and only draw the required object.

$(2,6)$

$[20]$ One should divide his$/$her savings between three mutual funds with expected returns $10\%,10\%$ and $15\%$ respectively, so as to minimize risk while achieving an expected return of $12\%.$ We measure risk as the variance of the return on the investment. When a fraction $x$ of the savings is invested in Fund $1,y$ in Fund $2$ and $z$ in Fund $3,$ where $x+y+z=1,$ the variance of the return can be calculated to be

$400x^2+800y^2+200xy+1600z^2+400yz.$

Find a solution for $x,y$ and $z.$