Using data in Exhibit 1, Cost and Production Information, calculate Coxs break-even point in sales dollars (per hen). Taking into account his cumulative revenue for a hen, during which week (approximately) will the break-even point occur? (Hint, consider the pre-production costs as fixed for this calculation).

Please, show how to determine exactly when the breakeven occurs, supply a formula and an explanation for the answer per hen and for the breakeven week.

Exhibit 1. Arkansas Egg Company Cost and Production Information Arkansas Egg aimed to collect 26.6 dozen eggs from each hen over its productive laying cycle of 55 weeks. If that happened, based on the contract price, then AEC recovered the costs of bringing the bird to its productive cycle (about 40 cents/dozen) as well as fixed overhead (about 16 cents/dozen). The approximate contribution margin during this time was 7%. After the breakeven point, the only costs incurred were the variable production costs. Information on hen life cycle Approximate life of hen 78 weeks Pre-productive period of hen life cycle First 23 weeks of life Productive period or laying cycle Last 55 weeks of life Average age of laying hens at Summers' barns 43 weeks Average age of laying hens at Thomas' barns 48 weeks Minimum production target (PT) over which to allocate costs 26.6 dozen Approximate costs based on 26.6 dozen production target Total pre-production cost through week 23 Fixed overhead cost (facilities, debt service, depopulation, etc.) Variable production costs (feed, transportation, labor, etc.) Total cost for producing organic cage-free eggs Expected profit at 26.6 dozen (7%) $0.40 per dozen or $10.64 per bird $0.16 per dozen or $4.26 per bird $1.14 per dozen or $30.32 per bird $1.70 per dozen or $45.22 per bird $0.12 per dozen or $3.17 per bird Note: Arkansas Egg Company, as a family business with less than $25 million in revenue, used cash basis accounting for book and tax purposes. For purposes of this case, assume that revenue was produced after eggs are laid. Fixed and variable production costs were incurred evenly across the hen production cycle. Exhibit 1. Arkansas Egg Company Cost and Production Information Arkansas Egg aimed to collect 26.6 dozen eggs from each hen over its productive laying cycle of 55 weeks. If that happened, based on the contract price, then AEC recovered the costs of bringing the bird to its productive cycle (about 40 cents/dozen) as well as fixed overhead (about 16 cents/dozen). The approximate contribution margin during this time was 7%. After the breakeven point, the only costs incurred were the variable production costs. Information on hen life cycle Approximate life of hen 78 weeks Pre-productive period of hen life cycle First 23 weeks of life Productive period or laying cycle Last 55 weeks of life Average age of laying hens at Summers' barns 43 weeks Average age of laying hens at Thomas' barns 48 weeks Minimum production target (PT) over which to allocate costs 26.6 dozen Approximate costs based on 26.6 dozen production target Total pre-production cost through week 23 Fixed overhead cost (facilities, debt service, depopulation, etc.) Variable production costs (feed, transportation, labor, etc.) Total cost for producing organic cage-free eggs Expected profit at 26.6 dozen (7%) $0.40 per dozen or $10.64 per bird $0.16 per dozen or $4.26 per bird $1.14 per dozen or $30.32 per bird $1.70 per dozen or $45.22 per bird $0.12 per dozen or $3.17 per bird Note: Arkansas Egg Company, as a family business with less than $25 million in revenue, used cash basis accounting for book and tax purposes. For purposes of this case, assume that revenue was produced after eggs are laid. Fixed and variable production costs were incurred evenly across the hen production cycle