Use Lagrangian method

1. Each day Samir, who is a college student, spends his income on Tacos (t) and salad (s), and these provide him a utility of a. U(r, s) = (ts)2 If Tacos cost $2 each and salad costs $1 per plate, how should Samir spend the $10 allowance on food to maximize his utility? If the school tries to discourage Tacos consumption by increasing the price to $4, by how much should the parents increase Samir's allowance to provide him with the same level of utility he received in part (a)? note: you may round the answers to two decimal places What is the new optimal bundle (at the higher price for Tacos and the extra allowance that the parents provide)? What happens to the quantity demanded of Tacos and Salads as the price of Tacos increase? Why