Question

Suppose gil can write a poem in 1 hour, holly can write a poem in 2 hours, and ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. How much more would it cost a literary magazine to commission 19 poems per day than 18 poems per day?

Answer 1

The cost difference to commission 19 poems per day compared to 18 poems per day is $10.

Step-by-step explanation:

To calculate the cost difference between commissioning 19 poems per day and 18 poems per day, we need to find the total cost for each scenario.

Since Gil takes 1 hour to write a poem, he can write 12 poems in 12 hours. Therefore, Gil's cost is 12 x $10 = $120.

Similarly, Holly's cost is 12/2 x $10 = $60 and Ivan's cost is 12/3 x $10 = $40.

So, for 18 poems per day, the total cost is $120 + $60 + $40 = $220. And for 19 poems per day, the total cost is $220 + 1 x $10 = $230.

Hence, it would cost the literary magazine $10 more to commission 19 poems per day than 18 poems per day.

Answer 2

A poem wage for Gil = number of hours* wage per hour

= 1*10 = 10$

A poem wage for Holly = number of hours*wage per hour

= 2*10 = 20$

A poem wage for Ivan = number of hours * wage per hour

= 3*10 = 30$

And all 3 of them works for 12 hours per day.

Since Gil charges least for a poem, it is always betterr to take Gil for first 12 poems.

Let us find wage for 18 poems = (wage for 12 poems from Gil) + (wage for 6 poems from Holly) = 12*10 + 6*20 = 240$

Since both Gil and Holly worked for 12 hours to complete 18 poems.

Remaining 1 poem should be written by Ivan.

And that will cost 30$.

Hence It will cost 30$ more to commission 19 poems per day than 18 poems per day.