Jody is working two jobs, one as a carpenter and one as a website designer. He can work at most 50 hours per week and makes $35 per hour as a carpenters 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. Let c represent the
hours he works as a carpenter and let w represent the hours he works as a website designer.
What is the maximum amount of money that Jody can make in a week given the system in.

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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The maximum is 3350$

Step-by-step explanation:

As carpenter he earns 35$ per hours

As web design he earns 75$ per hours.

We know that 75>35, so for maximum earning he need to work as web designer more.

He wants to vork as a carpenter at least 10h in week and he worls 50h per week. So for a maximum he works as web designer 50-10=40 hours.

So c=10 and w=40

The equation is:

35c+75w=35*10+75*40=350+3000=3350$

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step-by-step explanation: