what is the objective function and plot the corner points of the feasible area

Andy's Bicycle Company (ABC) has the hottest product on the upscale toy market - boy's and girl's bikes in bright fashion colors, with oversize hubs and axles, shell design safety tires; strong padded frames; chrome-plated chains, brackets and valves, and nonslip handlebars. Due to the seller's market for high-quality toys for the newest baby boomers, ABC can sell all the bicycles it manufactures at the following prices: boy's bikes, $220; girl's bikes, $175. This is the price payable to ABC at this Orlando plant The firm's accountant, V.R.Dondeti, has determined that direct labor costs will b 45% of the price that ABC receives for the boys' model and 40% of the price received for the girls' model. Production costs, other than labor but excluding painting and packaging, are $44 per boys' bicycle and $30 per girls bicycle Painting and packaging are $20 per bike, regardless of model. The Orlando plant's overall production capacity is 390 bicycles per day. Each boys' bike requires 2.5 labor-hours, each girls' model 2.4 hours. ABC currently employs 120 workers, each of whom puts in a 8-hour day. The firm has no desire to hire or fire to affect labor availability, for it believes its stable workforce is one of its biggest assets. Using a graphing approach, determine the best product mix for ABC. Let X1 = number of boy's bicycles produced per day, X2 = number of girl's bicycles produced per day. Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x+xz