Question

Katherine is a personal chef. She charges $100 per three-person meal. Her monthly expenses are $3,075. How many three-person meals must she sell in order to make a profit of at least $1,950?

Answer 1

Given,

Katherine charges for three-person meal is $100.

The monthly expenses of katherine is $3075.

The amount of profit she want is $1950 atleast.

The total amount she have to earned in the month is,

`\begin{gathered} \text{Total earning amount = amount for expenses+amount of profit} \\ =3075+1950 \\ =\text{ \$ 5025 } \end{gathered}`

The number of three-person meals must she sell in order to make a profit of at least $1,950,

`\text{Number of meals = }\frac{total\text{ earning amount}}{\cos t\text{ of one three person meal}}`

Substituting the values then,

`\begin{gathered} \text{Number of meals = }(5025)/(100) \\ =50.25 \\ \approx51 \end{gathered}`

Hence, she must sell 51 three person meal to get atleast profit of $1950.