Suppose that a particular parabola is concave down, and it's vertex is in quadrant lll. What is x and y intercepts

The maximum amount of money that Jody can make in a week is $3350.

Given that,

He can work at most 50 hours per week and makes $35 per hour as a carpenter and $75 an hour as a website designer.

He wants to make at least $2350 per week but also wants to work at least 10 hours per week as a carpenter.  

We have to find,

What is the maximum amount of money that Jody can make in a week given the system?

According to the question,

Let c represent the  hours he works as a carpenter,

and w represents the hours he works as a website designer.

As a carpenter, he earns $35 per hours

As for web design, he earns $75 per hour.

He wants to work as a carpenter at least 10h in a week and he works 50h per week. So for a maximum, he works as a web designer,

50 - 10 = 40 hours.

Then,

The hours he works as a carpenter c = 10,

And the hours he works as a website designer w = 40

He can work at most 50 hours per week and makes $35 per hour as a carpenter and $75 an hour as a website designer.

Therefore, the equation is,

Hence, The maximum amount of money that Jody can make in a week is $3350.

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