MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C)

Transcription

1 Math 6 Fall 28 Name Qui 2 Chapters 2 & 3 Each problem worth 5 points Number 2 is etra credit MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question ) The result of performing the elementar row operation [3] + (5) [2] on the sstem is ) The sstem is equivalent to the sstem ) The result of pivoting the matri 3 5 about the element 6 is ) The identit matri of sie 3 is 5)

2 6) [ 6] [-8] [ -2] -2 E) ) If B is a 2 matri and A is a 3 matri, then the sie of AB is ) Let A and B 3-2 The entr in the second row, first column of AB is E) 3 9) The sstem is equivalent to the matri equation ) Suppose one hour's output (measured in bottles) in a brewer is described b the following matri: Regular Beer Light Beer Malt Beer Production line Production line A Let H where represents the number of hours Production line is in operation in a da and represents the number of hours Production line 2 is in operation in a da Then the entr in the second row, first column of AH, represents the total number of hours in a da spent producing light beer the total number of hours in a da spent producing regular beer the total number of bottles of light beer produced in a da the total number of bottles of regular beer produced in a da 2

3 ) The inverse of the matri - -3 is not defined 2) The feasible set of a certain linear programming problem is given b the following sstem of linear inequalities Without graphing this set, determine which of the following points is not in the feasible set (8, ) (7, 3) (, -3) (8, -) A cand merchant sells two variet bags of cand Each pound of variet bag A contains 6% caramels and % chocolates and sells for $8 a pound Each pound of variet bag B contains 5% caramels and 55% chocolates and sells for $ a pound The merchant has available pounds of caramels and 3 pounds of chocolate The merchant will tr to sell the amount of each blend that maimies her income Let be the number of pounds of variet bag A and be the number of pounds of variet bag B 3) Since the merchant above has available 3 pounds of chocolates, one inequalit that must be satisfied is in the situation above is ) In the situation above, the objective function is

4 A small manufacturing plant produces three kinds of biccles three-speed, five-speed and ten-speed in two factories Factor A produces 6 three-speeds, 2 five-speeds and 3 ten-speeds in one da, while factor B produces 5 three-speeds, 8 five-speeds and 2 ten-speeds in one da An order is received for 3 three-speeds, five-speeds, and 5 ten-speeds It costs $2 a da to operate factor A and $3 a da to operate factor B The manufacturer chooses the number of das to operate each factor in order to minimie cost 5) In the situation above, the variables are the number of das factor A is operated the number of das factor B is operated the number of das spent producing three-speeds the number of das spent producing five-speeds the number of das spent producing ten-speeds the number of three-speeds produced the number of five-speeds produced the number of ten-speeds produced the total cost to operate factor A the total cost to operate factor B 6) In the situation above, the objective function is ) In the situation above, which of the following inequalities must be satisfied? ) Consider the feasible set (FS) below of a certain linear programming problem The maimum value of the objective function 5 - is 9-3

5 9) Consider the feasible set (FS) below of a certain linear programming problem The objective function 5 - is maimied at point A B C D E) E 2) Consider the feasible set, FS, shown below The coordinates of verte B are (, 6) (5, 5) (, 2) (, ) 5

6 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Solve the problem 2) For the feasible set (FS) below, find the coordinates of the point that minimies + 5 Find the minimum value of + 5 6