Final answer:
The potential size range for pumpkin offspring from the given genotypes is from 15 to 33 pounds, with 33 pounds being the weight of the largest pumpkin with all positive effect dominant alleles and 15 pounds being the weight of the smallest pumpkin with recessive alleles or negative effect dominant alleles.
Step-by-step explanation:
To calculate the potential size range for pumpkin offspring from the given genotypes, we systematically add the effects of the capital (dominant) alleles to the base size of the smallest homozygous recessive pumpkin. The smallest pumpkin weighed 20 pounds with the genotype aabbccddee. We then account for the effects of each allele, which are given as: A +6, B -2, C -3, D +3, and E +4. We need to consider the highest possible weight (most dominant alleles present) and the lowest possible weight (fewest dominant alleles present) that can result from the cross of genotypes aaBbCCDdEe and AaBBCcddEe.
The largest pumpkin would have all the dominant alleles with positive effects and none with negative effects. This would be a genotype of A_B_C_D_E_ (with _ indicating either dominant or recessive allele does not change the outcome) for a weight calculation of 20 + 6 + 3 + 4 = 33 pounds.
The smallest pumpkin would have all the recessive alleles or dominant alleles with negative effects. This would be a genotype of aa_bb_cc_dd_ee or aaBbccddEe for a weight calculation of 20 - 2 - 3 = 15 pounds. Thus, the potential size range for the offspring is from 15 to 33 pounds.