Copy and complete the table if the cost function is given as TC=10+2q and one unit of the quantity is 27
To complete the table, we can plug in different quantities (q) and calculate the corresponding total cost (TC) using the given cost function TC = 10 + 2q.
The table will look as follows:
| Quantity (q) | Total Cost (TC) |
|--------------|----------------|
| 0 | 10 |
| 1 | 12 |
| 2 | 14 |
| 3 | 16 |
| 4 | 18 |
| 27 | 64 |
| 50 | 110 |
| 100 | 210 |
| 500 | 1010 |
| 1000 | 2010 |
Notice that for each quantity (q) value, the total cost (TC) is obtained by adding 10 to the product of 2 and q. The last row shows an example where q is 1000, and the corresponding total cost is 2010.
To complete the table, we need to calculate the total cost (TC) for different quantities (q) using the given cost function TC = 10 + 2q, where one unit of the quantity is 27.
Let's calculate the total cost for different quantities:
| Quantity (q) | Total Cost (TC) |
|--------------|----------------|
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
To find the total cost for each quantity, substitute the value of q into the cost function TC = 10 + 2q:
1. For q = 1:
TC = 10 + 2(1)
TC = 10 + 2
TC = 12
2. For q = 2:
TC = 10 + 2(2)
TC = 10 + 4
TC = 14
3. For q = 3:
TC = 10 + 2(3)
TC = 10 + 6
TC = 16
4. For q = 4:
TC = 10 + 2(4)
TC = 10 + 8
TC = 18
5. For q = 5:
TC = 10 + 2(5)
TC = 10 + 10
TC = 20
Now, let's complete the table using the calculated values:
| Quantity (q) | Total Cost (TC) |
|--------------|----------------|
| 1 | 12 |
| 2 | 14 |
| 3 | 16 |
| 4 | 18 |
| 5 | 20 |
This completes the table using the given cost function TC = 10 + 2q when one unit of the quantity is 27.
To complete the table for the cost function TC=10+2q, we need to find the total cost (TC) for various quantities (q) of the product. Given that one unit of the quantity is 27, we can start by substituting this value into the cost function:
TC = 10 + 2q
When q = 27:
TC = 10 + 2(27)
TC = 10 + 54
TC = 64
Therefore, when the quantity (q) is 27, the total cost (TC) is 64.
We can continue filling up the table by substituting different values for q into the cost function and solving for TC. Here's the completed table:
| Quantity (q) | Total Cost (TC) |
|--------------|----------------|
| 27 | 64 |
| 10 | 30 |
| 15 | 40 |
| 5 | 20 |
| 50 | 110 |
| 0 | 10 |
By substituting different values for q into the cost function TC=10+2q, we can find the corresponding total cost for each quantity and complete the table.