Angela is starting a new business, selling shirts and dresses that she sews herself. The materials for the skirts cost $13.56, and the materials for the dresses cost $18.79. She only has $80 to spend. She still has a regular job, so she is limited on the time she has to sew her products. She only wants to spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a dress. 1. Using the information above, write inequalities representing the constraints based on the amount she has for materials, and the amount of time she has to spend sewing. 2. Graph each inequality on the same set of coordinate axes. Identify the number of skirts and dresses that could possibly maximize her profits. Round to the nearest whole number.
Angela is starting a new business, selling shirts and dresses that she sews herself. The materials for the skirts cost $13.56, and the materials for the dresses cost $18.79. She only has $80 to spend. She still has a regular job, so she is limited on the time she has to sew her products. She only wants to spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a dress. 1. Using the information above, write inequalities representing the constraints based on the amount she has for materials, and the amount of time she has to spend sewing. 2. Graph each inequality on the same set of coordinate axes. Identify the number of skirts and dresses that could possibly maximize her profits. Round to the nearest whole number.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CT: Test
Problem 17CT: Pascual is remodeling a house and plans a complete drywall for one 8-foot-high room. Dimensions for...
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Transcribed Image Text:Angela is starting a new business, selling shirts and dresses that she sews
herself. The materials for the skirts cost $13.56, and the materials for the
dresses cost $18.79. She only has $80 to spend. She still has a regular job,
so she is limited on the time she has to sew her products. She only wants to
spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a
dress.
1. Using the information above, write inequalities representing the
constraints based on the amount she has for materials, and the amount
of time she has to spend sewing.
2. Graph each inequality on the same set of coordinate axes. Identify the
number of skirts and dresses that could possibly maximize her profits.
Round to the nearest whole number.
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Follow-up Question
- Angela thinks she could sell each skirt for $30, and each dress for $40. Write an equation for the function S(x, y), the amount of money she will make in sales for x number of skirts and y number of dresses.
- Using the equation for the amount of money she could make, identify the number of skirts and dresses that will maximize her sales, and find her total profit for selling that amount of skirts and dresses.
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