Set up the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week.(a) Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, write a system of linear inequalities that describes the possible number of each model of bookcase that can be manufactured in a week.(b) Graph the system and label the corner points.

What will be an ideal response?


(a)

(b)

Mathematics

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Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region.n(A') = 26, n(B) = 32, n(A ? B) = 11, n(A'? B') = 35

A.

B.

C.

D.

Mathematics

Solve the problem.In how many ways can Susan arrange 8 books into 3 slots on her bookshelf?

A. 13,440 B. 336 C. 6720 D. 1344

Mathematics

Graph. Label any intercepts and determine the slope of the line. If the slope is undefined, state this.x = 6

A. x-intercept: (0, 6), m: 0

B. x-intercept: (0, 0), m: 6

C. x-intercept: (6, 0), m: undefined

D. x-intercept: (6, 0), m: 

Mathematics

Indicate whether the statement is true always, sometimes, or never.The product of two imaginary numbers is a real number.

A. Always B. Sometimes C. Never

Mathematics