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Equations of lines/linear algebra/ business economics math

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Must be capable of doing A grade level work at college math level.

  • Find an equation of the line passing through the points (2, 3)and(-4,5). Graph the line.
  • A store can sell 20 electric shavers per day at $25 per shaver, but he can sell 30 shavers if he charges $20 per shaver. Find the demand equation, assuming that is linear.
  • Find an equation of the line that passes through the point (3, 1) and is perpendicular to the line .
  • Show that the lines are parallel.

5) Find the equilibrium price and quantity for the following:

1)2)3) 4)

6) The fixed costs of producing products are $5000 per month and the variable cost is $3.50 per unit. If the product sells for $6.00 each a) the break even point

b) the number of units that must be produced and sold each month to obtain a profit of $1000 per month. Hint: Profit=revenue -cost.

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