Math, asked by msimemavundla, 1 year ago

The profit made by a company when 60 units of its product is sold is R1600.00. When 150 units of its product is sold, the profit increases to R5200. Assuming that the profit function is linear and of the form
P(u) =a+but where Possible is the profit in Rands and u is the number of units sold, determine the:
1. Value of a and b
2. Break-even level
3. Number of units that need to be sold to realise a profit of R12 000. 00

Answers

Answered by prashilpa
2

Answer:

1.   a = -800 and b = 40

2.  If you produce and sell 20 units, break even is reached.  

3.  You need to sell 320 units to get a profit of Rs. 12000.

Step-by-step explanation:

Profit equation is given by  

P(u) = a + bu

Number of Units made = u = 60

Profit = Rs. 1600

Hence equation is 1600 = a + 60b  ----------------------------E1

Number of units made  = 150

Profit = Rs. 5200

Hence equation is 5200 = a + 150b  ------------------------------E2

E2 – E1 gives us

3600 = 90b

b = 40

Hence a = 1600 – 60 * 40 = -800.

1. a = -800 and b = 40

break even is when the profit exactly zero.  

0 = -800 + 40u

u = 800/40 = 20.

2. If you produce and sell 20 units, break even is reached.  

3. Profit = Rs. 12000

12000 = -800 + 40u

Hence u = (12000 + 800)/40 = 12800/40 = 320

You need to sell 320 units to get a profit of Rs. 12000.

Answered by amitnrw
2

Answer:

a = -800

b = 40

20 units for break even

320 units for Rs 12000 profit

Step-by-step explanation:

The profit made by a company when 60 units of its product is sold is R1600.00. When 150 units of its product is sold, the profit increases to R5200. Assuming that the profit function is linear and of the form

P(u) =a+but where Possible is the profit in Rands and u is the number of units sold, determine the:

1. Value of a and b

2. Break-even level

3. Number of units that need to be sold to realise a profit of R12 000. 00

P(u) = a + bu

P(60) = 1600

1600 = a + 60b

P(150) = 5200

5200 = a + 150b

=> 90b = 3600

=> b = 40

1600 = a + 60(40)

=> a = -800

P(u) = -800 + 40u

Break even when profit = 0

0 = -800 + 40u

u = 20

20 units

12000 = -800 + 40u

=> u = 12800/40

=> u = 320

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