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.

Explanation:
Marge Piercy’s landmark feminist utopian/dystopian novel Woman on the Edge of Time (1976) is deeply influenced by and directly draws upon the radical feminist theories articulated in Shulamith Firestone’s seminal text, The Dialectic of Sex: The Case for Feminist Revolution (1970).

In The Dialectic of Sex, Firestone argues that the biological division of labor in reproduction (pregnancy, childbirth, and breastfeeding) is the root cause of patriarchal oppression and gender inequality. She posits that women can only achieve true liberation when they are freed from the tyranny of their biology through the use of technology, specifically artificial reproduction (ectogenesis), and when child-rearing is communalized rather than restricted to the nuclear family.

In her novel, Piercy brings Firestone's theoretical concepts to life in the future utopian society of Mattapoisett. In this utopia:
1. Biological reproduction has been completely replaced by artificial gestation in mechanical brooders, thereby eliminating the biological basis of gender inequality.
2. The traditional nuclear family is dismantled. Instead, each child is raised by three co-parents or "mothers" (who can be of any gender), and the community shares collective responsibility for child-rearing.
3. By eliminating biological motherhood, the society successfully eradicates gender-based divisions of labor and power hierarchies, directly mirroring Firestone’s political vision.