Design control program for a vending machine using PLC$,$ including wiring diagram,SFC$,$ initial condition, transition, state, output, timer, counter if needed.Technical Requirements:$1.$ There are three kinds of beverage in the vending machine and only coins can be inserted into the machine, i$.$e$.1$$$,5$$$,10$$$\mathrm{.}2.$ When more than $1$$ are inserted, the light of seven up is on$.$ When more than$5$$ are inserted, the lights of seven up and cola are on$.$ When more than $10$$ are inserted, the lights of seven up$,$ cola and mineral water $($Evian$)$ are on$\mathrm{.}3.$ When any button of beverage is pressed, it takes $7$s to eject one tin of beverage$\mathrm{.}4.$ To give change, one button has to be pressed. When the change is more than$1$S$,$ the light of seven up is still on$.$ Similarly, when the change is more than$5$S$,$ AKe lights of seven up and cola are on$.$ When press the button for giving change, all the lights are off.Report should include this items$1.$ Instruction of your design$2.$ Wiring diagram with instructions$3.$ SFC with instructions$4.$ Programs, each part should be explained in words$5.$ ConclusionsReport should be written within $5-10$ pages.