1. A company makes gizmos, gadgets, and widgets. Each gizmo requires 3 hours of painting, 4 hours of trimming and 1 hour of packaging to produce. Each gadget requires 2 hours of painting, 5 hours of trimming and 2 hours of packaging. Each widget requires 4 hours of painting, 2 hours of trimming, and 3 hours of packaging. Form a 3X3 matrix, H, summarizing this information as follows.

The answer boxes provide room for up to a 3X3 matrix. Start your answer in the upper left corner and use the boxes you need. If you don't need a box, type n/a in any boxes not needed. Do not leave a box blank.

R1C1 ______ R1C2______ R1C3______

R2C1 ______ R2C2______ R2C3______

R3C1 ______ R3C2______ R3C3_____

1. Continued

The company has plants in Louisiana and New Jersey. In Louisiana, the paint shop pays $9/hr., the trim shop pays $8.50/hr., and the packing shop pays $7.25/hr. In New Jersey, the paint shop pays $9.50 /hr., the trim shop pays $9/hr., and the packing shop pays $8.38/hr. Summarize this information in a matrix W, such that the product HW is doable mathematically and makes sense within the context of the problem. Answer in another 3X3 matrix.

R1C1 ______ R1C2______ R1C3______

R2C1 ______ R2C2______ R2C3______

R3C1 ______ R3C2______ R3C3_____

Continued

A company makes gizmos, gadgets, and widgets. Each gizmo requires 3 hours of painting, 4 hours of trimming and 1 hour of packaging to produce. Each gadget requires 2 hours of painting, 5 hours of trimming and 2 hours of packaging. Each widget requires 4 hours of painting, 2 hours of trimming, and 3 hours of packaging. Form a 3X3 matrix, H, summarizing this information as follows.

The company has plants in Louisiana and New Jersey. In Louisiana, the paint shop pays $9/hr., the trim shop pays $8.50/hr., and the packing shop pays $7.25/hr. In New Jersey, the paint shop pays $9.50 /hr., the trim shop pays $9/hr., and the packing shop pays $8.38/hr.Summarize this information in a matrixW, such that the productHWis doable mathematically and makes sense within the context of the problem. Compute the matrix HW and interpret each entry. Write complete thoughts using the actual numbers and the correct units for each entry.

2. Find the domain of each of the following functions. Use interval notation for your answer. Use the parentheses and square brackets found on your keyboard and use the capital U for union, but you will need to type the work infinity instead of using the symbol. For example type (-infinity,3] if x must be less than or equal to 3. Use no spaces in your answers.

A. f(x)=3x^3-4x

B. g(x)=x^2-9 divided by x+3

C. h(x)=x^2-9 divided by x^2-2x-15

D. f(t)= the square root of t-7

E. g(t)-ln(7-t)

F. h(t)=e^t-7

3. Find the domain of each of the following functions. Use interval notation for your answer. Hint: these functions combine the same fraction from problem #4 with either a square root or a logarithm. Use the parentheses and square brackets found on your keyboard and use the capital U for union, but you will need to type the work infinity instead of using the symbol. For example type (-infinity,3] if x must be less than or equal to 3. Use no spaces in your answers.

A. g(x)= the square root of x-2 divided by 5-5