Download Exam 1 Practice Test - Modern Mathematics for Business | MATH 1470 and more Study notes Mathematics in PDF only on Docsity!
DIrections: This exam covers lectures from chapters 1 3. It consists of 5 extended responses questions , 5 multiple choices , 2 matching and 1 True or False. All together there are 13 questions. Show all your work.
Name:______________________________
- ) Jeff is taking a test in which items of type A are worth 10 points and items of type B are worth 15 points. It takes 3 minutes for each item of type A and 6 minutes for each item of type B. Total time allowed is 60 minutes, and he may not answer more than 16 questions. How many items of each type should he answer in order to get the best score. (Hint: Determine your constraints and objective function).
2.) The following table below gives the mean SAT scores for years 1995 1998. Find the average verbal (using 2X4 matrices) and Math SAT scores for years 1995 1997 of the female and male who took each.
Verbal Math Year Male l Female Male l Female 1995 505 l 502 525 l 490 1996 507 l 503 503 l 502 1997 507 l 503 530 l 494 1998 509 l 502 531 l 496
5.) A machine is now worth 120, 000 and will depreciate linearly over a 8 year period at which time it will be 25,000 as scrap.
(a) Determine the linear depreciation function of f.
(b) What is the domain of f?
(c) What will the machine be in 6 years?
- ) FInd the slope of this graph.
A. m=3/2 B. m= 3/6 C. m=7/14 D. m= 7/
7.) Use the cost function formula c(x) to find the slope of the line if the fixed cost is $2.00 and 40 items costs $5000 to produce. A. m= 87 B. 75/75 C. 2.00/4 D. m= 75
8.) Find the break even profit when the profit (in millions of dollars) from the sale of x million units of an item is given by profit, P=.7x 25.5 and C, cost is given by C=.9x+25.5. A. x=36.4 B. y=25.6 C. can’t be determined D. x=26.
9.) Find an equation of the line that goes through (8, 4) and ( 2, 4) using the point slope formula. A. y= 4 B. x= ⅔ C. m=7/1 D. y^2=4/
- ) Circle the best choice that explains the properties of the Gauss Jordan method. There are three properties that you can use to solve a linear system of equations. A. Interchange third columns and replace the second row, multiply a constant by a second row, and multiply a constant by a row and then add it to another row.
12.) Find the inverse of this matrix A.
13.) Find the answer to this matrix using dot product? Is it possible to multiply these matrices? True if it is and false if you can’t.
