Trinity product Limited makes and sells three types of electronic security systems for which the following information is available

Standard cost and selling price per unit

Day Scan Night scan Omni scan

GH GH GH

Material 70 110 155

Manufacturing labour 40 55 70

Installation labour 24 32 44

Variable overheads 16 20 28

Selling price 250 320 460

Fixed cost for the period are GH450,000 and installation labour, which is highly skilled is available for 25,000 hours only in a period and is paid GH8 per hour. Both manufacturing and installation labour are variable cost. The maximum demand for the period is: Day scan 2,000 units; Night scan 3,000 units; Omni scan 1,800 units.

Required

1. Calculate the shortfall (if any) in hours of installation labour.
2. Determine the best production plan assuming the company wishes to maximize profit.
3. calculate the maximum profit that could be achieved from the plan in part (b) above
4. Having carried out an investigation of the availability of installation labour, the firm thinks that by offering GHS 12 per hour, additional installation would become available and thus overcome the labour shortage. Based on the result obtained above, you are required to advice the firm whether or not to implement this proposal.