To determine the total cost of producing 100 booklets, we need to consider the costs of standard stock paper, heavy stock paper, photocopying, and stapling. Here is a detailed step-by-step solution:
1. Determine the total number of standard stock sheets needed:
- Each booklet contains 26 sheets of standard stock paper.
- For 100 booklets, we need [tex]\( 26 \times 100 = 2600 \)[/tex] standard stock sheets.
2. Determine the total number of heavy stock sheets needed:
- Each booklet has a front and back cover, so 2 sheets of heavy stock paper per booklet.
- For 100 booklets, we need [tex]\( 2 \times 100 = 200 \)[/tex] heavy stock sheets.
3. Calculate the cost for standard stock paper:
- The cost of 500 sheets of standard stock paper is [tex]$8.00.
- We need 2600 sheets, so we calculate the number of sets of 500 sheets required:
\[
\text{Number of sets} = \frac{2600}{500} = 5.2
\]
- Therefore, the cost for standard stock paper is:
\[
\text{Cost for standard stock} = 5.2 \times 8.00 = 41.6 \text{ dollars}
\]
4. Calculate the cost for heavy stock paper:
- The cost of 250 sheets of heavy stock paper is $[/tex]15.00.
- We need 200 sheets, so we calculate the number of sets of 250 sheets required:
[tex]\[
\text{Number of sets} = \frac{200}{250} = 0.8
\][/tex]
- Therefore, the cost for heavy stock paper is:
[tex]\[
\text{Cost for heavy stock} = 0.8 \times 15.00 = 12.0 \text{ dollars}
\][/tex]
5. Calculate the photocopying cost:
- Each sheet (both standard and heavy stock) is printed on both sides.
- The total number of sheets is [tex]\( 2600 + 200 = 2800 \)[/tex] sheets.
- The total number of sides to be photocopied is [tex]\( 2800 \times 2 = 5600 \)[/tex] sides.
- With a photocopying cost of [tex]$0.05 per side, the photocopying cost is:
\[
\text{Photocopying cost} = 5600 \times 0.05 = 280.0 \text{ dollars}
\]
6. Calculate the stapling cost:
- The cost of stapling 100 booklets is $[/tex]5.00.
- Therefore, the stapling cost is:
[tex]\[
\text{Stapling cost} = 5.0 \text{ dollars}
\][/tex]
7. Calculate the total cost:
- Add all the costs together to find the total cost:
[tex]\[
\text{Total cost} = 41.6 + 12.0 + 280.0 + 5.0 = 338.6 \text{ dollars}
\][/tex]
Therefore, the cost to produce 100 of these booklets is approximately [tex]\( 338.6 \)[/tex] dollars.
The closest answer to this value from the given options is:
D. \$329
