Patio Iron Makes Wrought Iron Outdoor Dining Tables, Chairs, and Stools

question 31

Multiple Choice

Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 ft of a standard-width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 ft of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 ft of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 108 ft of wrought iron, 50 hours for cutting and assembly, and 40 hours for detail and finishing. If the profits are $60 for each dining table, $49 for each chair, and $39 for each stool, how many of each item should be made each day to maximize profit? Find the maximum profit. Round your profit to the nearest dollar and another answers - to the nearest whole number. ​

• A)7 tables, 6 chairs, and 16 stools per day for a maximum daily profit of $1,338
• B)6 tables, 5 chairs, and 18 stools per day for a maximum daily profit of $1,307
• C)5 tables, 4 chairs, and 18 stools per day for a maximum daily profit of $1,198
• D)8 tables, 5 chairs, and 16 stools per day for a maximum daily profit of $1,349
• E)8 tables, 6 chairs, and 15 stools per day for a maximum daily profit of $1,359

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Definitions:

Vertices

Plural of vertex; refers to the multiple points where two or more curves, lines, or edges meet, especially as the corner points of polygons or angles.

Hyperbola

A type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

Asymptotes

Lines that a graph approaches but never touches, indicating behaviour towards infinity in functions or sequences.

Hyperbola

A type of smooth curve lying in a plane, defined as the difference of distances from any point on the curve to two fixed points (foci) being a constant.