Question $27(12$ points$)$

Assume that Guizhou Falls Department Store orders inventory and is offered a cash discount by one of their suppliers with the condition $\frac{2}{10},$ net $40.$ In order for Guizhou Falls to take the cash discount, the company will need temporary financing of $$75,000$ for $30$ days. The local bank offers a loan for $12\%$ per annum $($i$.$e$.$ annual interest$).$ Assume $365$ days in the year.

Answer the following questions by entering plain numbers $($no currencies, commas or $\%-$signs. don't round during calculations, only round the final amount$)$

Blank #$1$: What is the cost of foregoing the cash discount? $($don$\text{'}$t enter $\%-$sign, round to $2$ decimals$)$

Blank #$2$: If Guizhou Falls decides to take the bank loan, how much will they have to pay in interest? $($don$\text{'}$t enter $$-$sign; round to full $$-$amount$)$

Blank #$3$: What amount would Guizhou Falls need to borrow, if there was a required $8\%$ compensating balance? $($don$\text{'}$t enter $$-$sign; round to full $$-$amount$)$

Blank #$4$: What would be the interest rate if th$$ interest charge for the offered loan was $$937$ and if there was a required $8\%$ compensating balance on the loan? $($don$\text{'}$t enter $\%-$sign; round to $2$ decimals$).$

Blank #$5$: Should Guizhou Falls borrow the required amount and realize the cash discount under the conditions in $($#$2)?$ Only enter either Yes or No$.$

Blank #$6$: Should Guizhou Falls borrow the required amount and realize the cash discount under conditions in $($#$4)?$ Only enter either Yes or No$.$