$6\mathrm{.}5$ A fully loaded CAT $621K$ scraper is operating in fifth gear at its full$-$rated rpm$.$ Ambient air temperature is $60F$ and the altitude is approximately sea$-$level. The scraper is climbing a uniform $4\mathrm{.}0\%$ slope with a rolling resistance of $70l\frac{b}{t}on.$ This pneumatic$-$tired scraper is fully loaded with fill material. The operating weight of the empty scraper in pounds $($lb$)$ is $89,973$ and the rated load in pounds is $57,610.$ Empty the front axle carries $59\%$ of the weight and loaded it carries $50\%.$ The speed of the scraper in fifth gear is $13\mathrm{.}6mph.$

a$.$ What is the total operating weight of the fully loaded scraper?

b$.$ In pounds what is the weight carried by the front axle when fully loaded?

c$.$ What portion, in pounds, of the fully loaded weight is carried by the rear axle $($the axle of the bowl$)?$