Question Details

MATH 500 Week 5 Discussion
Systems of Equations and Applications
1. 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.