The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a grinder, or some combination thereof. The following 0-1 integer linear programming model has been developed for determining which of the three machines (lathe, xi; press, x2; grinder, x3) should be purchased in order to maximize the annual profit: 9. maximize Z = 1 ,000x1 + 700x2 subject to 5,000 + 6,000 + 4,000x3 800x3 (profit, $) 10,000 (cost, $) X1, x2, x3 0 or 1 Solve this model using the branch and bound method. The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a grinder, or some combination thereof. The following 0-1 integer linear programming model has been developed for determining which of the three machines (lathe, xi; press, x2; grinder, x3) should be purchased in order to maximize the annual profit: 9. maximize Z = 1 ,000x1 + 700x2 subject to 5,000 + 6,000 + 4,000x3 800x3 (profit, $) 10,000 (cost, $) X1, x2, x3 0 or 1 Solve this model using the branch and bound method