Question

(Q.1) Bridget Ashton is getting ready to open a small restaurant. She is on a tight budget and must choose between the following long-distance phone plans: Plan A: Pay 10 cents per minute of long-distance calling. Plan B: Pay a fixed monthly fee of $15 for up to 240 long-distance minutes, and 8 cents per minute thereafter (if she uses fewer than 240 minutes in any month, she still pays $15 for the month). Plan C: Pay a fixed monthly fee of $22 for up to 510 long-distance minutes and 5 cents per minute thereafter (if she uses fewer than 510 minutes, she still pays $22 for the month). 1. Draw a graph of the total monthly costs of the three plans for different levels of monthly long- distance calling (0, 50, 100, 150, ..., 500, 550, 600). (Show all three plans on a single graph.)

Answer 1

Step 1:-  Total Monthly Cost of Three Plans at various levels of Long Distance Calls.

No. Long Distance Calls	Plan A	Plan B	Plan C
0	$0.00	$15.00	$22.00
50	$5.00	$15.00	$22.00
100	$10.00	$15.00	$22.00
150	$15.00	$15.00	$22.00
200	$20.00	$15.00	$22.00
250	$25.00	$15.80	$22.00
300	$30.00	$19.80	$22.00
350	$35.00	$23.80	$22.00
400	$40.00	$27.80	$22.00
450	$45.00	$31.80	$22.00
500	$50.00	$35.80	$22.00
550	$55.00	$39.80	$24.00
600	$60.00	$43.80	$26.50

Step 2:- Cost under three plans shown in one graph.

Graph Showing Total Monthly Cost of Three Plans at Various Levels Of Long Distance Calls $70.00 $60.00 $50.00 $40.00 $30.00 $20.00 $10.00 $0.00 450 0 100 150 200 250 300 350 400 500 550 Level Of Long Distance Calls(No.) Plan A Plan B Plan C Monthly Cost (S) 50