Question

According to the equation shown below, the profit, P (in thousands of dollars), that a

workshop makes depends on the amount, x (in thousands of dollars), the workshop
spends on marketing for a day.
P(x) = x2 + 2x + 3
This question is worth 4 points. It has 2 parts
1. Please enter the maximum profit the workshop can make in one day. (2 pts.)
2. Graph this parabola on your desmos graphing calculator, and add the link to show
the extreme value matching your answer. (2 pts.)
DESMOS GRAPHING CALCULATOR


Please help asap! I think I have part one figured out but lmk if I’m wrong!

Answer 1

Problem:
The profit, P (in thousands of dollars), that a workshop makes depends on the amount, x (in thousands of dollars), the workshop spends on marketing for a day. The profit is given by the equation:

$$P(x) = -x^2 + 2x + 3$$

This problem consists of two parts, each worth 2 points:

Part 1:
Please find and enter the maximum profit the workshop can make in one day.

Part 2:
Graph the parabola represented by the equation on the Desmos Graphing Calculator and provide the link showing the vertex of the parabola, which corresponds to the extreme value from Part 1.

Your answers:

1. Maximum profit: $3,750
2. Desmos Graph with the marked vertex at (0.5, 3.75).