PJ Ltd Co. has been contracted to supply two products S & T worth 500 pieces, the joint cost function for the two varieties is given as: C = 100S2 +150T2. The quantity of S and T are not specified therefore, the firm may decide to supply any combination. The firm wishes to minimize the cost of producing the supplements but to meet your demand, determine how many of each type of supplement the firm will produce to minimize costs. What will be the minimum cost of production? Illustrate the relationship graphically.