You are a purchasing manager at Lemon, inc., and you are responsible for developing

forecast for the most strategically important product j$-$Pod. Demand data and forecasts for

the past $5$ weeks can be found below:

Demand Forecast

Week$1250240$

Week$2248246$

Week$3267247\mathrm{.}2$

Week$4253259\mathrm{.}08$

Week$5243255\mathrm{.}432$

The company is using exponential smoothing forecasting technique with alpha $=0\mathrm{.}6.$

a$)$ Develop forecast for Week$6$ using exponential smoothing with alpha$=0\mathrm{.}6.$

b$)$ Compute MAD.