Question

The cost C of sending a parcel post package weighing \[P\] gms, \[P\] an integer is Rs.10 for the first grams and Rs.3 for each additional gram. The formula for the cost is
A.\[C = 10 + 3P\]
B.\[C = 10P + 3\]
C.\[C = 10 + 3\left( {P - 1} \right)\]
D.\[C = 9 + 3P\]
E.\[C = 10P - 7\]

Answer 1

Hint: In this question we have to determine the cost price for sending the parcel post. As we all know, the total cost of a product is equal to its fixed plus the variable cost associated with it. So we will write the constant cost and we will add the variable cost to the fixed cost to get the actual cost.

Complete step-by-step answer:
It is giving that Rs.10 for the first grams and Rs.3 for each additional gram.
As we all know that the total cost of producing a product is equal to its fixed plus the variable cost associated with it.
So we will keep Rs.10 as fixed cost and multiplication of 1 less than the total grams with the additional gram cost.
We are taking 1 less than the total grams for the variable cost because the cost given in the question is for the additional weight only. So, we get
So, cost function is
\[C = 10 + 3\left( {{\rm{total grams}} - 1} \right)\]
It is given that the package weighing is\[P\] gms. Therefore, the equation becomes
\[C = 10 + 3\left( {P - 1} \right)\]
Hence, option C is the correct option.

Note: Cost price is the cost of producing something or the price at which it is sold without making any money.
Selling price is the price at which something is sold.
Revenue of a product is equal to the total amount generated by selling the product at some selling price.
Profit is the money that you make when you sell something for more than its cost you.
If the revenue generated by the company is less than the total cost of production then there is loss to the company rather than profit.