Problem:

In a certain diploid plant, three loci A/a, B/b, and C/c are linked as follows:

A/a is linked to B/b by 40 m.u.
B/b is linked to C/c by 30 m.u.
A/a is linked to C/c by 70 m.u.

One plant is available to you (call it the parental plant). It has the constitution A b c /a B C.

Question 1: Assuming no interference between the regions, if the parental plant is crossed with the a b c/a b c plant, how many progeny will have the phenotype of A B c if there are 1000 total progeny?

Questuion 2: Assuming 20 percent interference between the regions, if the parental plant is crossed with thea b c/a b c plant, how many progeny will have the phenotype of A B c if there are 1000 total progeny?

Question 3: Assuming 20 percent interference between the regions, if the parental plant is crossed with thea b c/a b c plant, how many progeny will have the phenotype of A B C if there are 1000 total progeny?

Please show your all work.