Evidence suggests an $80\%$ learning curve applies to the production if item AMD. At the end of June $580$ units of AMC have been produced. Budgeted production for July is $60$ units.

The time taken to produce the very first unit of AMD back in January was $120$ hours.

Using the following formula: yx$=$axb

a$.$ When x $=580$ units, calculate the cumulative average time per unit in hours to $2$ d$.$p$.$

Answer $1$ Question $4$

hours.

b$.$ When x $=640$ units, calculate the cumulative average time per unit in hours to $2$ d$.$p$.$

Answer $2$ Question $4$

hours.

c$.$ Calculate the total time, in hours, to produce $580$ units.

Answer $3$ Question $4$

hours.

d$.$ Calculate the total time, in hours, to produce $640$ units.

Answer $4$ Question $4$

hours.

e$.$ Calculate the total time, in hours, to produce the budgeted production for July.

Answer $5$ Question $4$

hours.

f$.$ For July, calculate the cumulative average time per unit in hours to $2$ d$.$p$.$

Answer $6$ Question $4$

hours.