Jenny's bakery makes two types of birthday cakes: yellow cake, which sells for $25, and strawberry cake, which sells for $35. both cakes are the same size, but the decorating and assembly time required for the yellow cake is 2 hours while the time is 3 hours for the strawberry cake. there are 450 hours of labor available for production. how many of each type of cake should be made to maximize revenue?

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?