Trade Show Exhibit Display Booths

inequalities word problem? help!?

a wholesaler of party goods wishes to display her products at a convention in such a way that she gets the maximum number of inquiries about her whistles and hats. her booth at the convention has 12 square meters of floor space to be used for display purposes. a display unit for hats requires 2 square meters, and one for whistles requires 4 square meters. experience tells the wholesaler that she should never have more than a total of 5 units of whistles and hats on display at one time. if she recieves 3 inquires for each unit of hats and 2 inquiries for each unit of whistles on display, how many of each should she display in order to get the maximum number of inquiries? what is the maximum number? i know how to solve the equations but what are the equations? i think i have a few but if you think you know how to solve this problem at all please help! thanks so much!

Public Comments

1. Let the number of whistles be x and hats be y. 2x+4y<12( less than or equal to 12) x+2y<6 x+y<5( less than or equal to 5) The other 2 inequalities are x>0 and y>0( or equal to) Enquries = 2x+3y Graphically you will get a bounded region. Either Draw 2x+3y=0 and shift it up to the corner to get the optimum answer. Or test the points( with x and y as integers) inside the bounded region.