Question

Exercise 1: Mathematics and economics

In 2019, the manager of a beachside brasserie offers a menu for € 23.90 for lunch. This menu
was so successful that the manager decided to increase her price for the summer.
The average weekly number of covers according to the price of the menu (in €) is given
by: N (x) = - 18 x + 605.
1. The manager sets the price of the menu at 25 €. Calculate the weekly turnover achieved by
Brewery.
x
To know: The turnover of a company corresponds to the sum of the amounts of sales
carried out by it.
х
2. We denote by C (x) the weekly turnover (in €) for a menu price of
euros. Show that C (x) = - 18x? +605 x
3. The manager believes that for her formula to remain profitable, her turnover must exceed
€ 1,400 the first week. Determine the highest menu price the manager can
to stare
for
be profitable.

Answer 1

economics

In 2019, the manager of a beachside brasserie offers a menu for € 23.90 for lunch. This menu

was so successful that the manager decided to increase her price for the summer.

The average weekly number of covers according to the price of the menu (in €) is given

by: N (x) = - 18 x + 605.

1. The manager sets the price of the menu at 25 €. Calculate the weekly turnover achieved by

Brewery.

x

To know: The turnover of a company corresponds to the sum of the amounts of sales

carried out by it.

х

2. We denote by C (x) the weekly turnover (in €) for a menu price of

euros. Show that C (x) = - 18x? +605 x

3. The manager believes that for her formula to remain profitable, her turnover must exceed

€ 1,400 the first week. Determine the highest menu price the manager can

to stare

for

be profitable.

Explanation: