$1.$ In Lecture $10,$ we used the following example for linear programming:

A $10$ km$2$ farmland beside a lake is appropriate for planting either A or B$.$ If planting A$,90$ kg$/$

km$2/$yr organic waste will emit into the lake; if planting B$,50$ kg $/$ km$2/$yr organic waste will emit.

The selling prices for A and B are $30$k HKD$/$km$2$ and $15$k HKD$/$km$2.$ The farming cost for planting

A and B are $15$k HKD$/$km$2$ and $5$k HKD$/$km$2.$ EPD limits waste emission to $700$kg$/$yr$,$ for every

kg waste also need to pay $100$ HKD$.$

We have formulated the optimized problem to make maximum profit during the lecture. Now

please solve it using Scipy in Python. Paste the code and write down the results.