Marge Piercy’s novel woman on the edge of time (1976) is based on-

The correct option is Shulamith firestone’s The Dialectic of sex.

Step-by-step Explanation:
Marge Piercy’s landmark feminist utopian/dystopian novel, Woman on the Edge of Time (1976), is heavily influenced by the theoretical proposals of radical second-wave feminism, most notably Shulamith Firestone's radical feminist text, The Dialectic of Sex: The Case for Feminist Revolution (1970).

Firestone argued that the root of women's oppression lies in the biological family structure and the physical demands of reproduction. She proposed that to achieve true equality, society must eliminate the biological division of labor through the use of technology (such as artificial reproduction or ectogenesis) and replace the nuclear family with communal child-rearing practices.

In Woman on the Edge of Time, the protagonist Connie visits a future utopian society called Mattapoisett. Piercy designs Mattapoisett to directly reflect Firestone's theories:
1. Artificial Wombs (Ectogenesis): Human reproduction in Mattapoisett takes place in artificial brooders, detaching childbearing from the female body to ensure absolute biological equality.
2. Communal Parenting: Children do not belong to biological parents; instead, each child is raised by three designated "comothers" of various genders, breaking down the patriarchal nuclear family model.

Thus, the social and reproductive structures of Piercy’s utopia serve as a direct narrative application of Shulamith Firestone's radical feminist arguments in The Dialectic of Sex.