Al producir q artículos, el precio es p=32-q y el costo total esta dado por c=80+8q. determine la función de utilidad que dependa de la cantidad q artículos.
a. determine la función de utilidad que dependa de la cantidad q de articulos.
b. cual es la utilidad máxima?
c. para que cantidades de articulos se produce ganancia?

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

The product of sin 30 degrees and sin 60 degrees is same as the product of

Alistair has 5 half-pounds chocalate bars. it takes 1 1/2 pounds of chocalate,broken into chunks, to make a batch of cookies. how many batches can alistair mke with chocalate he has on his hand?