The Band Boosters want to open a craft bazaar to raise money for new uniforms. Two sites are available. A Main Street site costs $10 per square foot per month. The other site on High Street costs $20 per square foot per month. Both sites require a minimum rental of 20 square feet. The Main Street site has a potential of 30 customers per square foot, while the High Street site could see 40 customers per square foot. The budget for rental space is $1200 per month. The Band Boosters are studying their options for renting space at both sites.

a. Graph the polygonal convex region represented by the cost of renting space.

b. Determine what function would represent the possible number of customers per square foot at both locations.

c. If space is rented at both sites, how many square feet of space should the Band Boosters rent at each site to maximize the number of potential customers?

d. Suppose you were president of the Band Boosters. Would you rent space at both sites or select one of the sites? Explain your answer.