Use the following information for the next $3$ ?questions:

You are in charge of planning for the Uptown Music Festival. One task you need to complete is locating ATMs throughout the festival grounds. You need to minimize the number of ATMS, but you $$ d like at least one within $50$ ?ft of every vendor, and at least $2$ ?within $50$ ?feet of each of the beer gardens. The ATMs can only be placed in locations that will have electrical outlets, so they must be at a beer garden or vendor location. The following table shows each of $25$ ?locations $(2$ ?beer gardens and $23$ ?vendors $),$ ?and the x $$ s indicate locations that are within $50$ ?ft $.$

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If your decision variables are Xi $,$ ?where $$ i $=$ ?the location number, and Xi $=1$ ?if the location is selected for an ATM or $0$ ?if the location is not selected, then the objective function would be: