A restaurant offers a buffet dinner at group prices. The buffet costs the restaurant $6 per person. How large a group can the restaurant serve without losing money?
P. S. I came up with a group of ten person that they could serve. Please let me know if this is wrong.
Thank-you!
That's what I also found using the expression I gave in a previous post. I hope you verified that expression for the first 5 terms as well.
y=3(x+5)(x-2)
To determine how large a group the restaurant can serve without losing money, we need to calculate the point at which the cost of the buffet is equal to the amount of money the restaurant earns from the group price.
Let's denote the number of people in the group as "x". The cost of the buffet per person is given as $6, so the cost for the group will be 6x.
The restaurant offers a group price, but it is not mentioned how much the restaurant charges per group. We need this information to calculate the earnings per group. Once we have the earnings per group, we can set it equal to the cost of the buffet and solve for x.
Please provide the additional information about the group price per person or per group, and we can proceed with the calculation to determine the largest group size the restaurant can serve without losing money.