Q2 Perfect Substitutes Technology Natalie owns a computer software company. Her rm's production function is y = 2x1 + 5x2 where x1 is the number of interns she hires and x2 is the number of experienced programmers. a) Suppose Natalie has 10 of each type of worker, producing 70 units of output y. What is the fewest number of additional workers [of either type] that Natalie could hire to produce 100 units of output? b] If Natalie faces input prices ofwl = 12 and wz = 20, what is the cheapest way to produce 100 total units of output? c) If Natalie faces input prices of W1 = 9 and w; = 25, what is the cheapest way to produce 100 units of output