Question in picture

Suppose marginal utility from leisure is given by 3c0'6/(120'7) and marginal utility from consumption is given by 3E0'3/(1c0'4) and that an individual can work up to 22 hours per day at a wage of $18.48 per hour. A. What must be true about the wage in order for a given worker to be a participant? Give the mathematical condition which expresses this. Now write the two mathematical conditions which a participant's optimal choice must satisfy (write them in terms of c and 8 rather than Y and E). B . Write the mathematical formula for this worker's marginal rate of substitution between leisure and labour. For this utility function, write the reservation wage as a flmction in terms of non-labour income YN and time available T. If YN=$232 then WR= :] . In this case will the individual choose to work? (Enter "1" for yes, "-1" for no. Enter "0" if the individual is indifferent.) If YN=$735 then WR= . In this case will the individual choose to work? (Enter "1" for yes, "-1" for no. Enter \"0\" if the individual is indifferent.) C. Suppose YN=$2441. Write the formula for this individual's potential income constraint. This individual will choose to work hours. So they will have hours of leisure and spend $ on consumption. D. Suppose YN=$97. Write the formula for this individual's potential income constraint. This individual will choose to work hours. So they will have hours of leisure and spend $ on consumption