Jenna is planning to start producing a goodgon her own, working from home, which can be sold in the market at $2 per unit. She estimated that workingThours, each day she can produceg = 25T - (1/3)T3. Jenna knows that she would need $15 worth of food while she is working.

(a) Find Jenna's marginal product (MP) function, using differentiation, and draw the MP curve.

(b)Using differentiation and economic interpretations, help Jenna to understand how many hours she should be working optimally per day.