A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut...
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A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.a. Create a system of inequalities that describes the constraints in this situation.Be sure to specify what each variable represents.b. Graph the inequalities and show the solution set.c. Identify a point that represents a combination of haircuts and and hair-coloring jobs that meets the stylist's requirements.d. Identify a point that is a solution to the system of inequalities but is not possibleor not likely in the situation. Explain why this solution is impossible or unlikely.
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