Set up the linear programming problem.An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost $9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

A. 6x + 9y ? 93
5x + 8y ? 80
y ? 5
B. 6x + 9y ? 93
5x + 8y ? 80
x + y ? 5
C. 6x + 9y ? 93
5x + 8y ? 80
x + y ? 5
D. 6x + 9y ? 93
8x + 5y ? 80
x ? 5


Answer: C

Mathematics

You might also like to view...

Solve. Assume the exercise describes a linear relationship.The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Find an equation relating time and sales. Use the equation to predict the total sales after 42 months.

A. $108,950 B. $108,892 C. $108,820 D. $108,850

Mathematics

Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.Find cot ?.

A.
B.
C.
D.

Mathematics

Multiply and simplify. ? 

A.
B.
C.
D. 120xy

Mathematics

Expand the expression using the Binomial Theorem.(w - s)6

A. w6 - 6w5s - 30w4s2 + 120w3s3 + 360w2s4 - 720ws5 - 720s6 B. w6 - s6 C. w6 - 6w5s + 15w4s2 - 20w3s3 + 15w2s4 - 6ws5 + s6 D. w6 - 8w5s + 17w4s2 - 22w3s3 + 17w2s4 - 8ws5 + s6

Mathematics