A recharger manufacturing company produces rechargers and its function for a week is C(x) = 1/10(4720+23x) and its revenue function - Maths - Linear Inequalities

Question

A recharger manufacturing company produces rechargers and its
function for a week is C(x) = 1/10(4720+23x) and its revenue
function is R(x) = 3x, when x is the no of rechargers produced and
sold per week How many rechargers must be sold for the company to
realizea profit ?

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

Cx=1104720+23xRx=3xFor company to realize profit,Rx>Cx⇒3x>1104720+23x⇒30x>4720+23x⇒30x-23x>4720⇒7x>4720⇒x>47207⇒x>674
28But x cannot be fractional⇒x=675Hence company should produce atleast 675 recharges per week to realize profit

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A recharger manufacturing company produces rechargers and its function for a week is C(x) = 1/10(4720+23x) and its revenue function is R(x) = 3x, when x is the no. of rechargers produced and sold per week . How many rechargers must be sold for the company to realizea profit ?