Question
Sergio Dvila is a honey producer who has been in the market for several years. He offers the honey along with other bee products on
Sergio Dávila is a honey producer who has been in the market for several years. He offers the honey along with other bee products on Sundays at an agroecological fair in Santa Anita.
Sergio offers his product in glass jars, which contain one kilo of pure bee honey. The demand and supply of his product in that market behave following a linear model. Sergio is interested in knowing the functions of supply and demand based on information that he has recorded from his sales.
Sergio has observed in recent weeks that, when the price is 22 soles per kilo, he has only been able to sell 12 one-kilo jars, and he had to return with 8 unsold jars.
On the other hand, it is known that if the price drops to 20 soles per kilo, demand and supply reach equilibrium and your income that day is 320 soles.
- Indicate the quantities demanded and supplied when the price is 22 soles per kilo.
- When the price is 20 soles per kilo, how many jars can be sold? Does this quantity represent the quantity demanded or the quantity supplied?
- Sergio needs to determine the offer correspondence rule, help him in that objective.
- Graph the supply function and show the two points you used to find it. Use an appropriate scale.
- Graph the demand function on the same axis system, using two known points .
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