hi , i tried to solve this question below but i faced diffculty?! could you please help me to solve it?!

thank you

Q5: Integer Programming (5 points) The Al-Ain Company has a contract to produce 10900 karden hoses for a customer. Al-Ain hat different machines that can produce this kind of hose and the company would like to distribute the production order at the 4 machines. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. The production costs and capacity at the 4 machines are as follows: Feast to Setup Vacinate TC. Rund & verible Machine Cost per Hose Capacity 6000 7500 2 3 Troduction Run 750 500 1000 300 1125 1.50 1.00 2.00 4000 5000 a) What are the required decision variables. Clearly define each one. . y; = o if Machine not selected and I if Machine is selected in 2,3,4) Binary X; - Machine used to produce garden hoses 9 is(1, 2, 3, 4) integer b) Write the objective function. Minimize Z = 1.25 xi + 1.50 X + 1X + 2Xu + 750 y 4500 4 + loooy + 300 44 c) Write the constraints. Capacity 6000 x, +500/X2 + 4000%, + 5000 X4 > legno ( d) Add a constraint to ensure that either machine Dor machine 1 can be used, (2.5 points)