Answer:
Total space needed is 3136 square feet.
Explanation:
We are given the following in the question:
Space required for eight manufacturing processes and six stockpiles.
Each takes 160 square feet.
Space required for 8 process =
![=8* 160\\=1280\text{ square feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/bnhr92mubgsghezt0eksae63bnox4unigg.png)
Space required for 6 stockpiles =
![=6* 160\\=960\text{ square feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/k30mj03cv08bwtqw3170nn1f7jgr5t8an0.png)
Total space =
![=1280 + 960\\=2240\text{ square feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/gt6edh5mwwnm7af1yexv3lggrzaj7af2oj.png)
Open space required = 40%
![=(40)/(100)* 2240\\\\=896\text{ square feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/ionzn9ndpdq83zvom18o7l8cwfi4kix3fp.png)
Total space required =
![=2240 + 896\\=3136\text{ square feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/d63tarmw4ucjca4j76axrmvxxwlbm29b29.png)
Thus, total space needed is 3136 square feet.