Reference no: EM132736365
Question: 1. A function has fixed cost of 80000 birr associated with the manufacture of dresses that cost 25 birr to produce. The firm cells all the dresses it produces at 75 birr per dress. Find the cost, revenue and profit functions if x is the number of dresses produced. What is the breakeven quantity of the firm?
2. A manufacturer has fixed costs of 10000birr and variable cost of 20 birr per item. The item is sold for 30 birr. If x denotes the number of items manufactured and sold;
a) Find the cost function
b) Find the revenue function c) Find the profit function d) Find the breakeven quantity.
3. If the fixed costs are 10000 birr and the cost per item is 3 birr, find the cost function assuming a linear cost model.
4. If the fixed cost is 14000 birr and the cost per item is 6 birr, find the cost function assuming a linear cost model.
5. Ali runs a firm. Ali's profit, P has a mathematical model defined by where x is the number of units of item produced and sold by the firm. Using this information find:
a) The number of units of items produced and sold to maximize profit.
b) The maximum profit.
c) The break-even quantity.
6. The cost function, C of a spare parts company has a mathematical model defined by , where x is the number of units of spare parts produced and sold. Using this information find:
a) The number of units of parts that should be produced to keep the cost at minimum.
b) If the company produced and sold 20 units for 16000 birr, how much was the profit or loss?
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: A function has fixed cost of 80000 birr associated with the manufacture of dresses that cost 25 birr to produce. The firm cells all the dresses it produces.
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