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

Essay

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?