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Question

Liam is comparing the costs of phone plans at two different companies to determine which plan to buy. Company A charges $50 each month plus an additional $10 per gigabyte of data used. Company B charges $60 each month plus an additional $8 per gigabyte of data used. The following equation represents the cost of the phone plans for the two companies when they are equal, where g represents the amount of gigabytes of data used.

Complete each of the statements below with the correct answer choice.

The cost of the phone plans will be the same for company A and company B when 1510518 gigabytes of data are used.

If company A changes the cost of data per gigabyte to $8$50$24$20, then the two phone plans will never have the same cost.

If company B's initial monthly cost remains the samedecreases by $10increases by $10 and the cost of data per gigabyte decreases by $2remains the sameincreases by $2, then the cost of the two phone plans will always be the same.

Answer 1

Decision variables

Machines w,x,y,z

Maximize p= 32000w +46000x+80,000y+16600z

Subject to the following constrains

w≤1500

x≤ 1500

y≤ 1500

z≤ 1500

w+x+y+z≤4000

non-negativity

x≥0

y≥0