Hi i would appreciate if you can really help in helping me with this question i am stuck. on it and appreciate your help please include all details in your work thanks so much!

Suppose that the production function for the economy is given by: Y = AL7/3K1/3 Suppose that this economy has 1,000 units of Labour, and 125 units of capital, and TFP (A) is equal to 10. The Short-Run Aggregate Supply Curve (AS) here is given by: Y = 5p And when we consider the AEF at a price level of $1,400, the main components of it (C, I, & G) are given by (we are assuming a closed economy NX = 0): C = 300 + 0.8Y 1 = 300 G = 200 1. What is potential GDP in this question (Y*)? Show your work. [2 points] Suppose also that for any $10 decrease in price, desired consumption will increase by $5. 2. Write down the equation for the Aggregate Demand Curve (AD) in the form of Y = a + bp. Show your work. [3 points] 3. What is the current Short-Run Equilibrium value for Real GDP (Y) and the price level (p)? Show your work. [2 points] 4. Draw the AD, AS, and LRAS curves. Label all x-intercepts and y-intercepts. Are we currently in an Inflationary Gap, Recessionary Gap, or in Long-Run Equilibrium? How do you know? [4 points]