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, which of the following inequalities must be satisfied?
A. 16x + 15y ? 30
B. 30x + 20y ? 50
C. x + y ? 120
D. x + y + z ? 120
E. none of these
Answer: A
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A. u = 
i - 
j
B. u = 15i - 20j
C. u = 
i - 
j
D. u = 
i - 
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Solve the problem.Let x represent the number of pounds of apples sold at $1.38 per pound, and let y represent the total price paid for the apples. Write an equation for this situation. Then give the ordered pair with an x-value of 2 associated with this equation.
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Graph the hyperbola.
- 
= 1
A. 
B. 
C. 
D. 