A small manufacturing plant produces three kinds of bicycles-three-speed, five-speed and ten-speed-in two factories. Factory A produces 16 three-speeds, 12 five-speeds and 30 ten-speeds in one day, while factory B produces 15 three-speeds, 18 five-speeds and 20 ten-speeds in one day. An order is received for 30 three-speeds, 40 five-speeds, and 50 ten-speeds. It costs $1200 a day to operate factory A and $3000 a day to operate factory B. The manufacturer chooses the number of days to operate each factory in order to minimize cost.In the situation above, the variables are
A. x = the total cost to operate factory A
y = the total cost to operate factory B
B. x = the number of three-speeds produced
y = the number of five-speeds produced
z = the number of ten-speeds produced
C. x = the number of days factory A is operated
y = the number of days factory B is operated
D. x = the number of days spent producing three-speeds
y = the number of days spent producing five-speeds
z = the number of days spent producing ten-speeds
E. none of these
Answer: C
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A. 2
; 18.868
B. 2
; 15.232
C. 4
; 12.649
D. 2
; 20.688
Simplify. Assume that all variables represent positive real numbers.
- 
+ 
A. 
B. 
C. - 
D. 