A coffee company sells three brands of coffee.Brand A costs p₁ dollars per can, brand B costs p₂ dollars per can, and brand C costs p₃ dollars per can.The demand (in hundreds of cans)depends on the prices as follows:
demand for brand A $= 200 - p _ { 1 }$ _,
demand for brand B $= 300 - 2 p _ { 2 }$ _,
demand for brand C $= 400 - 3 p _ { 3 }$ .
The company can produce 69,000 cans.What selling prices optimize the total revenue?

Question

A coffee company sells three brands of coffee.Brand A costs p₁ dollars per can, brand B costs p₂ dollars per can, and brand C costs p₃ dollars per can.The demand (in hundreds of cans)depends on the prices as follows:
demand for brand A

= 200 - p _ { 1 }

_,
demand for brand B

= 300 - 2 p _ { 2 }

_,
demand for brand C

= 400 - 3 p _ { 3 }

.
The company can produce 69,000 cans.What selling prices optimize the total revenue?

Quizplus · Accepted Answer

The Answer of A coffee company sells three brands of coffee.Brand A costs p₁ dollars per can, brand B costs p₂ dollars per can, and brand C costs p₃ dollars per can.The demand (in hundreds of cans)depends on the prices as follows: demand for brand A $= 200 - p _ { 1 }$ _, demand for brand B $= 300 - 2 p _ { 2 }$ _, demand for brand C $= 400 - 3 p _ { 3 }$ . The company can produce 69,000 cans.What selling prices optimize the total revenue?

A Coffee Company Sells Three Brands of Coffee =200−p1= 200 - p _ { 1 }=200−p1​

A Coffee Company Sells Three Brands of Coffee $= 200 - p _ { 1 }$