Equations, systems of equations and linear inequalities in two variables IV. Determine the breakeven point in the following problems. The fixed costs...
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Equations, systems of equations and linear inequalities in two variables
IV.
Determine the breakeven point in the following problems.
1. The fixed costs for producing a certain item are $ 4403 per month and the variable
costs are $ 4.50 per unit. If the producer sells each of the items for $ 8, determine
and explain the balance point.
2. The cost to produce "x" items is given by yc = 2.8x + 1617, where yc is the total cost
to produce "x" items. Each "x" item produced sells for $ 7.
a. Find the point of balance.
b. If it is known that at least 175 units will be sold, what should be the price set for
each item to ensure there are no losses?
3. The cost of producing "x" items per month is given by C (x) = $ 1,800 + $ 6x If each
item can be sold for $ 9,
a. Determine the breakeven point.
b. If the manufacturer can reduce variable costs to $ 4 per item by increasing fixed
costs to $ 2,425 a week, will it be convenient to do so?

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