Q2 Perfect Substitutes Technology Natalie owns a computer software company. Her rm's production function is y 2 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 of W1 2 12 and w; = 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