Question

If bob produces 36 or fewer in a week, he is paid x dollars per item. if bob produces more than 36 items, he is paid x dollars per item for the first 36 items, and 3/2 times that amount for each additional item. how many items did bob produce last week? (1) last week bob was paid total of $480 for the items that he produced that week. (2) this week produced 2 items more than last week and was paid a total of $510 for the item that he produced this week.

Answer 1

If A = items no more than 36
Pay for A items = AX
Pay for A items +Y = AX + 1.5yX
Difference paid for 2 more items = 30
If more than 36 items produce this week then, X = 30 /(2×1.5) = 10
Then using X = 10...
Last week cost of $480, then
Number of items produce = 480 -360 = 120
120 / 10×1.5 =8 thus total is 44
Number of items produce in week 2
= (510-360)/10x1.5 = 10 thus total is 46