4- Consider the following problem and its final simplex tableau to answer the following questions. "Farmer Jones bakes two types of cake (chocolate and vanilla) to supplement his income. Each chocolate cake can be sold for $1, and each vanilla cake can be sold for 25e. Each chocolate cake requires 20 minutes of baking time and uses 4 eggs. Each vanilla cake requires 40 minutes of baking time and uses 2 eggs, Eight hours of baking time and 30 eggs are available. Also, Farmer Jones must bake at least 4 vanilla cakes, because he already has accepted a customer order. Formulate an LP to maximize Farmer Jones's revenue, then solve the LP. . x1: Number of chocolate cakes produced x2 : Number of vanilla cakes produced maxz=x1+41x2st.31x1+32x28(bakingtimecapacity)4x1+2x230(eggcapacity)x24(vanillacakedemand)x1,x20 Optimal tableau a) If the demand for vanilla cake increases by one, what will be the change in the optimal objective value? b) If the available baking time increases by one hour, what will be the change in the optimal objective value? c) What would be a fair cost to increase the available egg by one? d) If the number of available eggs increases by one, what will be the change in the optimal objective value