The West Adelaide Squash Centre has received an offer from former World No. 1 Player; Nicol Ann David who wishes to spend six months in the beautiful Adelaide weather and have 100 private squash coaching sessions at the centre. If the offer is accepted, the West Adelaide Squash Centre will need to hire an additional squash court at a cost of $28,000 for that six month period. The following data has been provided:

Private squash coaching fee (per session) $1,200

Cost of squash racket and grips per session $250

Cost of squash balls per session $80

Cost of squash goggles per session $170

REQUIRED: Calculate the number of private squash coaching sessions required for the West Adelaide Squash Centre to break-even (show workings).