Consider the real intertemporal model with investment. The economy consists of two periods (current and future), there is a representative consumer who makes work-leisure choices and a consumption-saving choices, there is a representative firm that produces goods using capital labour using a production technology, and can invest in capital, and finally there is a government that finances current expenditures through taxation. Please upload pictures of your graphical analysis.

Derive the optimal investment rule for the firm. Draw the optimal investment schedule.