Jenni has decided to start knitting during quarantine. She decides to open an etsy shop where she can sellknitted hats. Each hat costs $4.50 in materials to produce, in addition to the fee of $150 to license her shop.She plans on selling each hat for $24.50. Jenni’s younger brother Archer is jealous of all the money his sister is making, so he decided to start a gardeningbuisness. He decides to buy a lawn mower for $100. He estimates that it will cost $1.75 in fuel to mow onelawn. Based on this decisison, he decides to charge $10 per lawn. -------------------------------------------------------------------- Jenni and Archer are competitive siblings, so Archer proposes a bet. He bets that if Jenni can make moremoney than him in a month, he will give her his whole month’s profit. She agrees and bets her whole month’sprofit as well. (a) In Desmos, graph the both Jenni and Archer’s profit equations on the same set of axis. Copy this graphonto your page (b) Determine the equilibrium point. Does this point have meaning in the context of this problem? (c) In one month, Jenni produces and sells 25 hats, whereas Archer mows 20 lawns. Who wins: Archer orJenni? And more importantly how much do they win?
Background:
Jenni has decided to start knitting during quarantine. She decides to open an etsy shop where she can sellknitted hats. Each hat costs $4.50 in materials to produce, in addition to the fee of $150 to license her shop.She plans on selling each hat for $24.50.
Jenni’s younger brother Archer is jealous of all the money his sister is making, so he decided to start a gardeningbuisness. He decides to buy a lawn mower for $100. He estimates that it will cost $1.75 in fuel to mow onelawn. Based on this decisison, he decides to charge $10 per lawn.
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Jenni and Archer are competitive siblings, so Archer proposes a bet. He bets that if Jenni can make moremoney than him in a month, he will give her his whole month’s profit. She agrees and bets her whole month’sprofit as well.
(a) In Desmos, graph the both Jenni and Archer’s profit equations on the same set of axis. Copy this graphonto your page
(b) Determine the equilibrium point. Does this point have meaning in the context of this problem?
(c) In one month, Jenni produces and sells 25 hats, whereas Archer mows 20 lawns. Who wins: Archer orJenni? And more importantly how much do they win?
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