Question

Lisa is planning an event. She needs to rent tables that will seat at least 90 people. There are 10 round tables and 19 rectangular tables available to rent. A round table seats 6 people, while a rectangular table seats 10 people. If the rental cost is $10 for each round table and $20 for each rectangular table, how many of each type of table should she rent to minimize the rental cost? Number of round tables: Number of rectangular tables: Minimum cost in dollars:

Answer 1

Let the number of round tables be X and the number of rectangular tables be Y.

Now, the constraints here are:

Also, we are given here that:

Therefore, Max X = 10 for which Y = 3 for which cost would be 10*10 + 3*20 = 160
X = 9, Y = 4, for which C = 9*10 + 4*20 = 170
X = 8, Y = 5, for which C = 8*10 + 5*20 = 180
X = 7, Y = 5, for which C = 7*10 + 5*20 = 170
X = 6, Y = 6, for which C = 6*10 + 6*20 = 180
X = 5, Y = 6, for which C = 5*10 + 6*20 = 170

Therefore we get here:

Number of round tables: 10
Number of rectangular tables: 3
Mnimum cost in dollars: 160