Matt and Lisa are driving together to a shopping mall, lookingforward to buying some clothes. Matt wants to stop by SportsAuthority to buy the new jersey of his favorite hockey team,whereas Lisa wants to go to Banana Republic to buy a new outfit.Both find the idea of going together to both stores a littleboring, so they agreed beforehand to split and go individually totheir desired store. After shopping individually, they decide tomeet at Applebee’s to grab some food before leaving. The Bananarepublic, the Sports Authority shops and the Applebee’s are locatedat (2, 3), (5, 5) and (1, 4), respectively. Suppose that theparking lot is located in a straight line given by the function y =1/3x ? 1. That is, customers can park in the mall as long as theydo it on top of the line. 3-1. Assuming rectilinear distances,where should they park the car in order to minimize the totaldistance they must walk? Explain your results. 3-2. Suppose Matt isrecovering from a leg injury, so they decided that Matt’s walkingdistance is twice as valuable as Lisa’s walking distance. Find thenew optimal parking spot.
