Marginal Utility and Demand $(4$ points$)$

Made the right way cassoulet is the most delicious thing ever. Your friend Beyonc$$ has abandoned

her music career to open an Amherst bistro, which specializes in French cuisine. She has done

some market research and finds that your neighbors value cassoulet according to the following

schedule:

Serving Marginal utility of cassoulet

$1$ $$30\mathrm{.}00$

$2$ $$27\mathrm{.}90$

$3$ $$25\mathrm{.}95$

$4$ $$24\mathrm{.}13$

$5$ $$22\mathrm{.}44$

$6$ $$20\mathrm{.}87$

$7$ $$19\mathrm{.}41$

$8$ $$18\mathrm{.}05$

$9$ $$16\mathrm{.}79$

$10$ $$15\mathrm{.}61$

a$.$ From the marginal utility table we can get the demand curve for cassoulet. Does the

demand curve have a positive or negative slope? Why? $(2$ points$)$

b$.$ How many servings will Beyonc$$s neighbors buy at $$31?$ How many at $$19?(1$ points$)$

c$.$ What will happen to the demand curve if a new study comes out showing cassoulet

increases the risk of heart disease? What will happen to the demand curve if instead a

study comes out showing cassoulet reduces the risk of dementia? $(1$ point$)$