Question 429179: . Solve the following system of equations.
3x + 4y = 4
2x + y = 6
2. Solve the following system of equations.
2x - 3y = 13
5x + 2y = 4
3. The Kraft Co. manufactures computer chips at a variable cost of $4 per chip and sells them for $10 each. If the fixed cost is $12,000 per month, what is the number of chips they would need to produce at the break-even point?
4. The Sunshine Bakery sells pies at a fixed price of p dollars per pie. The total number of pies demanded daily, D, is related to the price, p, in dollars by the equation:
D = -10p + 200
On the other hand, the daily supply of pies, S, is related to the price, p, per pie by the equation:
S = 15p - 50
Determine the equilibrium price of pies; that is, the price at which the supply, S, and demand, D, are equal.
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Hi
3x + 4y = 4
2x + y = 6
3x + 4y = 4
-8x -4y = -24
-5x = -20
x = 4 and y = -2 (y = 6-2*4)
2x - 3y = 13
5x + 2y = 4
2x - 3y = 13
15/2x + 3y = 12/2 |mulitplying 2nd EQ thru by 3/2
9.5x = 19
x = 2 and y = -3 (y = -5/2x + 2) |10-6 = 4
3) $6 profit per bag $12000/$6 = 2000bags
4) -10p + 200 = 15p - 50
250 = 25p
$10 = p
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