imperrect compeution $-$ Ena or Lnapter rrodiem

$$ Two farmers, Tito and Helen, supply a chain of islands with kale. The inverse demand for kale in the islands is given by $\frac{E}{8}P=60-0\mathrm{.}5Q,$ where $Q$ is the combined output of Tito $(q_T)$ and Helen $(q_H),$ measured in $10-$pound bunches. Tito grows kale at constant marginal and average cost of $$12$ per bunch; Helen grows kale at a constant marginal and average cost of $$10$ per bunch.

a$.$ Suppose this market is a Stackelberg oligopoly and that Tito is the first$-$mover.

i$.$ How much will Tito and Helen produce?

$q_T=$

$q_H=$

ii$.$ The market price of kale will be

$$ $$23\mathrm{.}50$ $$19\mathrm{.}25$

$$15\mathrm{.}50$

$$12\mathrm{.}75$

iii. How much profit will each farmer earn?

${}_T=$

${}_H=$

b$.$ Now suppose that Helen is the first$-$mover in this Stackelberg oligopoly.

i$.$ How much will Helen and Tito produce?

$q_H=$

$q_T=$

ii$.$ The market price of kale will be

$$25$ $$23$

$$21\mathrm{.}75$

$$19\mathrm{.}50$

iii. How much profit will each farmer earn?

${}_H=$

${}_T=$

c$.$ What is the value for Helen of being the first$-$mover in this Stackelberg game?

$$280$

$$275$

$$265\mathrm{.}50$

$$311\mathrm{.}50$