EASY
12th ICSE
IMPORTANT
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 A company sells its products at the rate of rs 6 per unit. The variable costs are estimated to run 25% of the total revenue received. If the fixed costs for the product are Rs 4500, find the number of units the company must sell to cover its fixed cost.

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Important Questions on Application of Calculus in Commerce and Economics

EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 7
A pen manufacturer company introduces production bonus to the workers that increases the cost of pens. The daily cost of production C for y pens is given by C(y) = (2.05y + 550) rupees. 
If each pen is sold at Rs 3, determine the minimum number that must be produced and sold daily to ensure no loss. 
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 7
A pen manufacturer company introduces production bonus to the workers that increases the cost of pens. The daily cost of production C for y pens is given by C(y) = (2.05y + 550) rupees. If the selling price is increased by 30 paise per piece, what would be the break-even point ? 
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 7
A pen manufacturer company introduces production bonus to the workers that increases the cost of pens. The daily cost of production C for y pens is given by C(y)=(2.05y+550) Rs. If it is known that at least 500 pens can be sold daily, what price the company should charge per piece to guarantee no loss.
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8
 A profit making company wants to launch a new product. It observes that fixed cost of the new product is Rs 35000 and the variable cost per unit is Rs 500. The revenue function for the sale of x units is given by 5000x-100x2. Find the profit function.
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8
A profit making company wants to launch a new product. It observes that fixed cost of the new product is Rs 35000 and the variable cost per unit is Rs 500. The revenue function for the sale of x units is given by 5000x-100x2. Find the break even values.
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 8
A profit making company wants to launch a new product. It observes that fixed cost of the new product is Rs 35000 and the variable cost per unit is 500. The revenue function for the sale of x units is given by 5000x-100x2. Find the values of x that result in a loss. 
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 9
A company manufactures wristwatches for which  p=1500-3x represents the demand function, where p is the price per unit of x units. Cost price initially involves a fixed cost of Rs 38400, and a variable cost of Rs 420, per watch. Find the level of production at which the company expects to recover its cost. 
 
EASY
12th ICSE
IMPORTANT
Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>EXERCISE>Q 10
A company has fixed cost of Rs 10000 and cost of producing one unit of its product is Rs 50. If each unit sells for Rs 75, find the break-even value. Also, find the values of x for which the company always results in profit.